I am sorry, but what you are saying is simply contrary to the NT, Jesus, the Gospel, Salvation by grace through faith, and Romans 3:
Romans 3:21-22
21. But now the righteousness of God without the law is manifested, being witnessed by the law and the prophets;
22. Even the righteousness of God which is by faith of Jesus Christ unto all and upon all them that believe: for there is no difference:
According to Romans 3:21-22, the only way to become righteous that is testified about in the Law and the Prophets is through faith in Christ. 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 has always been the one and only way of salvation by grace through faith. In Exodus 33:13, Moses wanted God to be gracious to him by teaching him His way that he might know Him and Israel too, in 1 Kings 2:1-3, God taught how to walk in His way through His law, and in John 17:3, eternal life is knowing God and Jesus, which again is the only way of salvation by grace through faith. In Genesis 6:8-9, Noah found grace in the eyes of God, he was a righteous man, and he walked with God, so he was declared righteous by grace through faith by the same means as Abraham (Genesis 15:6) and everyone else. God had no reason to provide an alternative an unobtainable means of earning our salvation by obeying His law when a perfectly good means was already in place, so that was never the goal of the law that it testified about.
In Ephesians 2:8-10, we are new creations in Christ to do good works, so while it denies that we can earn our salvation by our works lest anyone should boast, doing good works is nevertheless still an integral part of our salvation. In Romans 1:5, we have received grace in order to bring about the obedience of faith, and in Titus 2:11-14, our salvation is described as being trained by grace to do what is godly, righteous, and good, and to renounce doing what is ungodly, so God graciously teaching us to do this works is itself part of the content of His gift of salvation. Our salvation is from sin (Matthew 1:21) and sin is the transgression of God's law (1 John 3:4), so while we do not earn our salvation as a wage, living in obedience to it is nevertheless inherently the content of the gift of Jesus saving us from not living in obedience to it.
In Matthew 4:17-23, Jesus began his ministry with the Gospel message to repent for the Kingdom of God is at hand, and God's law is how his audience knew what sin is (Romans 3:20), so repenting from our disobedience to it is an integral part of the Gospel message. In Acts 2:38, when Peter called for his audience to repent and be baptized for the forgiveness of sin, God's law was again how they knew what sin is. Likewise, in Romans 15:4, Paul said that OT Scripture was written for our instruction, and in 15:18-19, his Gospel involved bring Gentiles to obedience in word and in deed. Furthermore, Romans 10:16, 2 Thessalonians 1:8, and 1 Peter 4:17 all speak against those who do not obey the Gospel, so I am teaching the same Gospel as them.
Here are some verses that speak against earning our salvation/eternal life as a wage: Romans 3:27, Romans 4:4-5, Ephesians 2:8-9, Titus 3:5, Galatians 2:21, and Galatians 3:21.
Here are some verses that show that obedience to God's law is required for salvation/eternal life: Romans 2:6-7, Romans 2:13, Romans 6:19-23, Ephesians 2:10, Titus 2:11-14, Galatians 3:26-29, Matthew 7:21-23, Matthew 19:17, Luke 10:25-28, James 2:17-24, Hebrews 5:9 and Revelation 22:14.
So the issue is that there must be a reason why our salvation requires us to choose to obey God's law other than in order to earn it as wage, such as faith insofar as Romans 3:31 says that our faith upholds God's law. In Matthew 19:17, Jesus said that the way to enter eternal life is by obeying God's commandments, in John 6:40, those who believe in the Son will be given eternal life, so obedience to God's commandments is the way to believe in the Son.
Do you believe that Jesus is Lord and Christ, and that salvation is only in His name? No law can or will save you.
While I believe that Jesus Lord is the Christ and that salvation is only is his name, we need to unpack what that means. In Psalms 119:142, God's law is truth, in Psalms 119:160, the sum of God's word is truth, and in John 1:14, the word of God became flesh and dwelt among us, so Jesus is God's law, the truth, and the word made flesh, which is evidenced by the fact that he set a sinless example of how to walk in obedience to it, which is also what he was claiming what he said that he is the truth (John 14:6). In Hebrews 1:3, the Son is the exact expression of God's nature, so he is the personification of God's nature expressed through God's law, or the physical manifestation of the law, so obedience to the law of which he is the living embodiment is the way to believe in the nature of who he is, or in other words the way to believe in him. The way that we live expresses what we believe to be true about the nature of who God is, which is why there are many verses that connect our belief in God with our obedience to His commands, such as Revelation 14:12, where those who kept faith in Jesus are the same as those who obey God's commandments. Likewise, all of God's names reveal aspects of God's nature, and obediently expressing God's nature is the one only way of salvation in His name.
That law was intended to show you that you cannot obey it and please God.
Nowhere does the Bible state this, but just the opposite. In Deuteronomy 30:11-20, God said that His law is not too difficult to obey and that obedience brings life and a blessing while disobedience brings death and a curse, so choose life! Thinking that we can't obey it would mean that God essentially gave the law with the goal of cursing His children, which would be expressing an extremely negative view of God when in reality His law was given for our own good in order to bless us (Deuteronomy 6:24, 10:12-13). Likewise, in 1 John 5:3, to love God is to obey His commandments, which are not burdensome, so to deny that we can obey it is to deny that anyone has ever loved God and to deny that it is not burdensome. Furthermore, the Bible records examples of people who did keep God's law, such as in Joshua 25:1-3 and Luke 1:5-6. In Revelation 14:12, those who kept faith in Jesus are all people who kept God's commandments, and in Revelation 22:14, it is those who kept God's commandments who are given access to the Tree of Life. All throughout the Bible, the way to displease God is by disobeying His commandments, not by obeying them.