There are many verses that connect faith with obedience to the Law of Moses and breaking faith with disobedience to it, so it is the law of faith, which is also in Christ because he walked in obedience to the Law of Moses, and those who are in Christ are obligated to walk in the same way he walked (1 John 2:6).
The Law of Moses was given as a gift for our own good (Deuteronomy 6:24, 10:12-13) and obedience to any set of instructions that are claimed to be for our own good is about putting our faith in the one who gave them to rightly guide us, which is why Jesus said in Matthew 23:23 that faith is one of the weightier matters of the Law of Moses. .
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)
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)...
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;
Keep your words to few, so you have a chance to understand better.
Israel heard to do all the commandments and it will be their righteousness. ( this appeals to men of pride/stiffnecked) and God made it clear to Israel ( who ignored this clearly) that the promised land was not given to them for their righteousness, for they are a stiffnecked people.
Submit yourself to the righteousness of God, is then only in believing Christ is the end of the law for righteousness.
Any righteousness of the law was only that if you do the law you live.
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.
Deuteronomy 9:6 Understand therefore, that the Lord thy God giveth thee not this good land to possess it for thy righteousness; for thou art a stiffnecked people.
Romans 10:3 For they being ignorant of God's righteousness, and going about to establish their own righteousness, have not submitted themselves unto the righteousness of God.
4 For Christ is the end of the law for righteousness to every one that believeth.
5 For Moses describeth the righteousness which is of the law, That the man which doeth those things shall live by 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.
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: