This is your own lifes belief and doctrine you are teaching here, so pay attention please.
Deuteronomy 6 as you quoted, shows to fear God ( Spirit of the fear of the Lord required through the Messiah)
To do all those statutes, for their good so God preserves them alive.
God testified it shall be the righteousness of Israel if they observe to do all of those commandments....
Isaiah 11:2 And the spirit of the Lord shall rest upon him, the spirit of wisdom and understanding, the spirit of counsel and might, the spirit of knowledge and of the fear of the Lord;
Deuteronomy 6:24 And the Lord commanded us to do all these statutes, to fear the Lord our God, for our good always, that he might preserve us alive, as it is at this day.
25 And it shall be our righteousness, if we observe to do all these commandments before the Lord our God, as he hath commanded us.
The Gentiles did attain to the righteousness which is after faith.
Israel did not attain that righteousness as spoken in Deuteronomy 6, why ?
Because observing to do all those commandments is not faith.
This required the kindness of our Saviour to appear, as it was only demonstrated that clearly it was not by works of righteousness we have done ( as Israel could do none in faith)
But saving is demonstrated now, that is is entirely by Gods mercy, the renewing of the Holy Ghost ( to now be enabled to fear God in the Spirit, unlike Israel who had no Spirit given to them)
In Deuteronomy 6:20-25, obedience to God's law is in regard to having faith in Him to defeat Pharaoh, faith in Him to bring them up out of Egypt, faith in Him to bring them to the land that swore to give to their fathers, faith that His law is for their own good, and faith in God to preserve them, so the reason why they are to be careful to obey all that God has commanded them is because of faith, and it is by that same faith that righteousness will be theirs.
However, someone can have any number of reasons for obeying God's law other than faith in Him to guide them, such as if they want to God to heaven or avoid going to hell, if they want to look pious or superior to their neighbor, if they love God, if they want to build godly character and a relationship with God, or if they want to earn their righteousness, so while I agree that God's law can be obeyed for reasons other than faith in Christ, nevertheless all faith in Christ is expressed through choosing to live in obedience to God's law.
The Son is the exact expression of God's nature, which he expressed by living in sinless obedience to God's law, so when we use Christ's nature as the guide for how we live our lives by obeying God's law, we are trusting in who he is, or in other words, we are believing in him, which again is why there are many verses that connect our faith in God with our obedience to Him. Furthermore, but expressing Christ's nature through our actions we are growing in a relationship with Christ through gaining experiential knowledge of who he is, so experientially knowing Jesus is the goal of the law, which is why he said in Matthew 7:23 that he will tell those who are workers of lawlessness to depart from him because he never knew them.
In Romans 9:30-10:4, they had a zeal for God, but it was not based on knowledge, so they failed to attain righteousness because they pursued the law as though righteousness were by works in an effort to establish their own instead of pursuing the law as though righteousness were by faith in Christ, for Christ is the goal of the law for righteousness for everyone who has faith. In Romans 10:5-10, this faith references Deuteronomy 30:11-16 in regard to saying that God's law is not too difficult for us to obey, that the one who obeys it will attain life by it, and in regard to what we are agreeing to obey when we confess that Jesus is Lord. Nothing in this passage has anything to do with Christ ending his eternal law.
Justification is grace, it is the hope of eternal life ( the hope of Christ rising is what we are saved by and that is not the law at all and why it is not of faith)...
In Psalms 119:29-30, David wanted to put false ways far from him, for God to be gracious to him by teaching him to obey His law, and he chose the way of faithfulness, so this is the way that justification is by grace, and this has always been the one and only way of salvation by grace through faith. In Matthew 19:17, Jesus said that the way to enter eternal life is by obeying God's commandments. In Titus 2:14, Jesus gave himself to redeem us from all lawlessness and to purify for himself a people of his own possession who are zealous for doing good works, so becoming zealous for doing good works in obedience to God's law is the way to put our hope in Christ rising (Acts 21:20).
Titus 3:4 But after that the kindness and love of God our Saviour toward man appeared,
5 Not by works of righteousness which we have done, but according to his mercy he saved us, by the washing of regeneration, and renewing of the Holy Ghost;
6 Which he shed on us abundantly through Jesus Christ our Saviour;
7 That being justified by his grace, we should be made heirs according to the hope of eternal life.
Romans 9:30 What shall we say then? That the Gentiles, which followed not after righteousness, have attained to righteousness, even the righteousness which is of faith.
31 But Israel, which followed after the law of righteousness, hath not attained to the law of righteousness.
32 Wherefore? Because they sought it not by faith, but as it were by the works of the law. For they stumbled at that stumblingstone;
Trying to earn our righteousness by obeying God's law has always been a fundamental misunderstanding of the goal of the law, which is why there are so many verses that speak against that, and thinking that the law was ever about trying to do that is making the same misunderstanding of the goal of the law that caused the Israelites to fail to attain righteousness. So there is a difference between the way to become righteous and describing the way that a righteous person lives. Jesus did not become righteous by obeying God's law, but rather he expressed his righteousness through the way that he lived, in accordance with what the law describes.
Read next to see, that doing of that law is ONE HUNDRED PERCENT NOT FAITH, AS YOU ARE NOT JUSTIFIED IN THE LAW.
BECAUSE THE JUST LIVES BY FAITH.
THE LAW IS NOT OF FAITH, YOU LIVE IN THEM, BUT ARE NOT JUSTIFIED AND DIE IN THEM.
Galatians 3:11 But that no man is justified by the law in the sight of God, it is evident: for, The just shall live by faith.
12 And the law is not of faith: but, The man that doeth them shall live in them.
In Romans 3:27, Paul contrasted a law of works with the law of faith, so works of the law are of works, while he said in Romans 3:31 that our faith upholds God's law, so it is of faith, along with the many other verses that I cited that connect God's law with faith. In Galatians 3:10-12, Paul was speaking about works of the law, which are not of faith, and was contrasting them with the Book of the Law, which is of faith, and they were under the curse for not relying on the Book of the Law because they were instead relying on works of the law. In those verses, Paul associated a quote from Habakkuk 2:4 with a quote from Leviticus 18:5, so the righteous who are living by faith are the same as those who are living in obedience to God's law. In Isaiah 51:7, the righteous are those on whose heart is God's law, so living by faith does not refer to a manner of living that is not in obedience to God's law. God is trustworthy, therefore His law is also trustworthy (Psalms 19:7), so to rely God's law is to rely on God, while to deny that God's law is of faith is to deny the faithfulness of God.
If anyone says they are under the law in faith, here is the answer to them
They who are of those works of the law of course are cursed, they are under the curse, as when they do not continue in them they are cursed and die.
Christ redeemed us from that curse of sin and death, as it is trying to establish our own righteousness without the righteousness entirely of Christ by faith in Him ( Christ is the end of the law for righteousness to them that believe)
Galatians 3:10 For as many as are of the works of the law are under the curse: for it is written, Cursed is every one that continueth not in all things which are written in the book of the law to do them.
Galatians 3:13 Christ hath redeemed us from the curse of the law, being made a curse for us: for it is written, Cursed is every one that hangeth on a tree:
All throughout the Bible, God wanted His people to repent and to return to obedience to His law, and even Christ began his ministry with that message, so it doesn't even make sense to think that God will curse those who repent and follow Christ, so we're better off refusing to repent, as if God doesn't want to be obeyed. In Deuteronomy 30:15-20, it is obedience to God's law that brings life and a blessing, while it is refusing to submit to it that brings death and a curse, not the other way around. In Deuteronomy 28:1-14, it describes the blessing of living in obedience to God's law, while verses 15-68 describe the curse of living in disobedience to God's law, so the law itself was not given as a curse, but rather being set free from the curse of the law is being set free to enjoy the blessing of the law. In Titus 2:14, it does not say that Christ gave himself to redeem us from the law, but in order to redeem us from all lawlessness and to purify for himself a people of his own possession who are zealous for doing good works, so you are undermining what he went to the cross to accomplish.