No it's not..according to Acts, Romans and Galatians.
The authors of those books should not be interpreted as contradicting what they considered to be Scripture or as speaking against following what Christ taught.
The law that is written on our hearts is not the letter of the OT. It;s the law of life in Christ Jesus.
Ro 8:1-4
In Deuteronomy 5:31-33, Moses wrote down everything that God commanded him without departing from it, which is why the Law of Moses is called the Law of God in verses like Nehemiah 8:1-8, Ezra 7:6-12, and Luke 2:22-23. In Romans 7-8:2, Paul said that the Law of God is good, that he wanted to do good, that he delighted in obey it, and that he served it with his mind in contrast with the law of sin, which was working within his members to cause him not to do the good that he wanted to do, which was waging war against the law of his mind, which he served with his flesh, which held him captive, and which the Law of the Spirit has freed us from. So he equated the Law of the Spirit with the Law of God, which is the Law that God gave to Moses.
The law was given because of transgression.
Gal 3:18-19
Again, that does not mean that what I said about righteousness and Galatians 4-5:1 isn't also true. If you believe that the Law of Moses was given because of transgressions and that we should refrain from transgressions, then you should be arguing in favor obedience to it.
Romans 8:4-7 is speaking about the law of life in Christ Jesus...not the law of Moses
Ro 8:4-7 That the righteousness of the law might be fulfilled in us, who walk not after the flesh, but after the Spirit.
The righteousness of the law....not the letter
For they that are after the flesh do mind the things of the flesh; but they that are after the Spirit the things of the Spirit.
We need to keep our mind on heavenly things and not things on the earth (Col 3:1-4)
For to be carnally minded is death; but to be spiritually minded is life and peace.
We can only find peace when we surrender to the will of God. The best way to accomplish this is to be thankful in all things (1 Th 5:18)
Because the carnal mind is enmity against God: for it is not subject to the law of God, neither indeed can be.
We need to seek after the endless life of Jesus and forget carnal commandments (Heb 7:16)
The Law of life in Christ is the Law of Moses. Christ set a sinless example for us to follow of how to walk in obedience to the Law of Moses and those who are in Christ are obligated to walk in the same way that he walked (1 John 2:6). The way to surrender to the will of God is not by refusing to follow Christ's example of obedience to what God has commanded. Again, in Romans 8:4-7, those who have carnal minds are those who refuse to submit to the Law of God. In Galatians 5:16-23, Paul contracted carnal desires with the desires of the Spirit and everything that he listed as carnal works that are against the Spirit are also against the Law of Moses while all of the fruits of the Spirit are aspects of God's character that the Law of Moses was given in order to teach us how to embody.
They failed because they attempted to fulfill the law which no man can do...this is why Christ was sent:
According to Galatians 5:14, anyone who has loved their neighbor has fulfilled the entire law, so it refers to something that countless people have done and should continue to do in perpetuity, not to something that only Christ did.
If you believe that you are justified by keeping the sabbath then your righteousness is not based on faith.
Again, I have not claimed that we can become justified as there result of keeping the Sabbath. We can't earn our justification even as the result of having perfect obedience to the Law of God because it was never given as a way of doing that (Romans 4:1-5), so that has always been a fundamental misunderstand of the goal of the law.
The letters of Paul clarify the Psalms but you do not understand either one.
By all means, please interact with what I've said about Romans 10:5-8, Deuteronomy 30, and the Psalms to explain why you think I don't understand them.
Paul was concerned because false teachers were claiming they had to be circumcised and keep the law of Moses
Ac 15:5-10
In Matthew 4:15-23, Jesus began his ministry with the Gospel message to repent for the Kingdom of God is at hand, which was a light to the Gentiles, and the Law of Moses was how his audience knew what sin is (Romans 3:20), so repenting from our disobedience to it is a central part of the Gospel message, which Peter argued in Acts 15:6-7 that Gentiles had heard and believed, so he was agreeing with the Pharisees from among the believers. In Ezekiel 36:26-27, God will take away our hearts of stone, give us hearts of flesh, and send His Spirit to lead us in obedience to the Law of Moses, which is in accordance with what Peter argued in Acts 15:8-9 that Gentiles had received the Spirt and had their hearts cleansed, so again he was agreeing with the Pharisees. In Psalm 119:29-30, he wanted to put false ways far from him, for God to be gracious to him by teaching him to obey the Law of Moses, and he chose the way of faith by setting it before him, so this has always been the one and only way of salvation by grace through faith, which is in accordance with what Peter argued in Acts 15:10-11 that Gentiles are saves by grace just as we are, so again he sided with the Pharisees.
They saw the law of Moses as a YOKE that they could not bear
In Acts 15:11, it makes it clear that the yoke that no one could bear was not the Law of Moses, but a means of salvation that is an alternative to salvation by grace, namely salvation by circumcision that was proposed by the men from Judea (Acts 15:1). Again, if they had been referring to the Law of Moses as being a yoke that no one could bear, then they would have been denying what Paul said is the word of faith that we proclaim, they would have been in direct disagreement with God, and they would have been expressing a view that is incompatible with the view that the Psalms are Scripture.
Do you think that those verses contain an exhaustive list for mature believers?
Either those verses contain an exhaustive list for mature believers or they do not, so it would be contradictory to treat them as being an exhaustive list in order to limit which laws Gentiles should follow while also treating it as being a non-exhaustive list by taking the position that there are obviously other laws that Gentiles should follow. It was no given an exhaustive list for mature believers but as a list intended to avoid making things too difficult for new believers, which they excused by saying that Gentiles would continue to learn about how to obey Moses every Sabbath in the synagogues.
Everything you said was a mixed up convolution of keeping the letter of law mixed with faith.
The Bible frequently connects our faith with our obedience to what God has commanded. For example, in James 2:18, he would show his faith through is works. In Matthew 23:23, Jesus said that faith is one of the weightier matters of the Law of Moses. In Romans 1:5, we have received grace in order to bring about the obedience of faith. In Romans 3:31, our faith upholds the Law of Moses. In John 3:16-21 and 3:36, it connects believing in the Son with our obedience. In Revelation 14:12, those who kept faith in Jesus are the same as those who obeyed God's commandments. In Psalms 119:30, he chose the way of faith by setting the Law of Moses before him. In Hebrews 11, every example of faith is an example of works. In Hebrews 3:18-19, it equated unbelief with disobedience. In Numbers 5:6, it describes disobedience as breaking faith. And so forth. God is trustworthy, therefore His law is also trustworthy (Psalm 19:7), so the way to have faith in God is by obediently having faith in His instructions and it would be contradictory to think that we should have faith in God but not in His instructions.
2Cor 3:6 is a perfect rebuttal for that...which you have yet to counter
I quoted many verses to counter your misinterpretation of that verse that you continue to ignore.
God gave us the law to show how utterly depraved we are and for us to recognize the need for a savior to impart true righteousness to us. Our self efforts cannot save and that was the lesson the schoolmaster of the law was sent to teach.
Nowhere does the Bible state that the God gave the law in order to show how utterly depraved we are. Jesus saves us from our sin (Matthew 1:21) and it is by the Law of Moses that we have knowledge of what sin is (Romans 3:20), so Jesus graciously teaching us to be doers of it is intrinsically the way that he giving us his gift of saving us from from not being doers of it, which is also the way that he is giving us his gift of righteousness. The Law of God was never given in order to teach us how to save ourselves, but rather God graciously teaching us to be doers of it is how He is saving us.