Your responses here are scripturally refuted by Paul's teaching that the new covenant is by GRACE, THROUGH FAITH, ... and explicitly NOT OF WORKS.
Ephesians 2
8 For BY GRACE are ye saved THROUGH FAITH; and that not of yourselves: it is the gift of God:
9 NOT OF WORKS, lest any man should boast.
10 For we are his workmanship, created in Christ Jesus TO PERFORM GOOD WORKS, which God hath before ordained that we should walk in them.
Your salvation formulation has WORKS in the wrong place in the NEW COVENANT ... we are saved by GRACE through FAITH, ... and explicitly NOT BY WORKS, ... but to perform WORKS.
The SAVING comes BEFORE any WORKS, ... which is perfectly consistent biblically ... since it is IMPOSSIBLE to please God (in any way) without FAITH.
OTOH, ... FAITH ... pleases God ... and is counted for RIGHTEOUSNESS.
Hebrews 11:6 But without faith it is impossible to please him: for he that cometh to God must believe that He is, and that He is a rewarder of them that diligently seek him.
Romans 4:1 What then shall we say that Abraham, our forefather according to the flesh, discovered in this matter? 2 If, in fact, Abraham was justified by works, he had something to boast about—but not before God. 3 What does Scripture say? “Abraham believed God, and it was credited to him as righteousness.”
While I spoke in favor of needing to obey the Mosaic Law, I said nothing about needing to obey it in order to earn our salvation, so you are burning a straw man, and this is even after I explicitly said this to you:
"Works can be done for reasons other than trying to earn our salvation, so the fact that we do not earn our salvation by our works does not mean that our salvation does not require works for some other reason, such as faith. This is why Paul said in
Romans 2:13 that only doers of the law will be justified while denying in
Romans 4:4-5 that our justification is something that can be earned. Doing good works is an inherent part of Jesus saving us from not doing good works."
In Ephesians 2:8-10, it is an example of this, where we do not earn our salvation by our works, but we have been made new creations in Christ in order to do good works, so choosing to do good works through faith is nevertheless still an inherent part of our salvation. 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, which is what the Mosaic Law was given to instruct us how to do, so God graciously teaching us to obey it again itself part of the content of God's gift of salvation. It notably does not say that we need to do those things before we can become saved or that we will do those things after we have become saved, but that our salvation is being trained by grace to do those things. Our salvation is from sin (Matthew 1:21) and sin is the transgression of God's law (1 John 3:4), so being trained by grace to do good works in obedience to God's law through faith is what it looks like to receive the gift of Jesus saving us from living in transgression of God's law.
Your line of thought is EXACTLY why the letter was written to the HEBREW believers ... because they were tempted to GO BACK to the following of the MOSAIC LAW to access God's salvation. The letter clearly shows that following the MOSAIC LAW is futile as a way of accessing God's salvation ... because we cannot sufficiently attain perfection (God's behavior standard) in the keeping of the Law.
James 2:10 For whosoever shall keep the whole law and yet offend on one point, he is guilty of all.
Even if someone managed to live in perfect obedience to the Mosaic Law, then they still would not earn their salvation by obeying it because it was never given as a means of doing that and our salvation is not something that can be earned as a wage (Romans 4:4-5). In Romans 3:21-22, it does not say that the Law and the Prophets testify that the righteousness of God comes through perfect obedience, but that it comes through faith in Christ for all who believe, so this has always been the one and only way to become righteous. The fact that we do not earn our righteousness by obeying God does not mean that we don't need to obey God for some other purpose.
In James 2:1-11, he was speaking to people who had sinned by showing favoritism, so he was not telling them that they needed to have perfect obedience because that would have already been too late, and he was not discouraging them from trying to obey the law, but rather he was encouraging them to repent and to do a better job of obeying the law more consistently. Repentance does change the fact that we have already failed to have perfect obedience, so the fact that repentance has value demonstrates that perfect obedience was never the requirement for becoming righteous.
Also, the LAW was not given to SAVE US, ... it was given to TEACH US ... to SHOW US our failure and weakness in following and meeting God's expectations. Such recognition can then LEAD US to the true source of God's salvation ... JESUS CHRIST, through Whom salvation is gifted to ALL who believe on His name.
Galatians 3:24 "Wherefore the LAW was our schoolmaster to bring us unto Christ, that we might be JUSTIFIED BY FAITH."
While I agree that the law was not given to save us, nowhere does the Bible say that it was given to show us our failure and weakness in following and meeting God's expectations. Earthly fathers don't given instructions to their children for that purpose, and this is that much more true of our Heavenly Father, who gave His law as a precious gift for our own good in order to bless us and teaching us how to rightly live (Deuteronomy 6:24, 10:12-13).
John 1
10 He (Christ) was in the world, and the world was made by him, and the world knew him not.
11 He came unto his own, and his own received him not.
12 But as many as received him, to them gave he power to become the sons of God, even to them that believe on his name:
13 Which were born, not of blood, nor of the will of the flesh, nor of the will of man, but of God.
For believers in Christ, the LAW has done what it was purposed to do (i.e. to bring us to Christ), ... and we can now go on to follow God in the SPIRIT.
The way to receive Jesus is not by rejecting the laws that were given to testify about him, which he taught by word and by example. The law brings us to Christ because it teaches us how to grow in a relationship with him, but does not lead us to Christ so that we can refuse to follow him and go back to living in sin. In Ezekiel 36:26-27, the spirit has the role of leading us to obey the Mosaic Law.
Galatians 5
16 But I say, walk by the Spirit, and you will not gratify the desires of the flesh. 17 For the desires of the flesh are against the Spirit, and the desires of the Spirit are against the flesh, for these are opposed to each other, to keep you from doing the things you want to do. 18 But if you are led by the Spirit, you are not under the Law.
P.S. Every good Bible student knows that the general expression "The Law" always refers to the Mosaic Law. So much so that any use of the phraseology to mean any other law ... is CLEARLY delineated in scripture. So, ... as you say ... "the law of sin" ...
Paul spoke about multiple different categories of law, such as the Law of God, works of the law, and the law of sin, so if you assume that he was always speaking about the Mosaic Law, then you are guranteed to misunderstand him. For example, in Romans 3:27, Paul contrasted a law of works with a law of faith, and in Romans 7:25, he contrasted the Law of God with the law of sin. In Romans 7:7, the Law of God is not sinful, but is how we know what sin is, and when our sin is revealed, then that leads us to repent and causes sin to decrease, however, the law of sin stirs up sinful passions in order to bear fruit unto do death, so it is sinful and causes sin to increase, so it is the opposite of the Mosaic Law. So verses that speak about a law that is sinful, that causes sin to increase, or that hinders us from obeying God's law are referring to the law of sin, such as Romans 5:20, Romans 6:14, 1 Corinthians 15:56, Galatians 2:19, and Galatians 5:18.
In Galatians 5:16-18, Paul spoke about the desires of the flesh causing us not to do the good that we want to do, which is how he described his struggle with the law of sin in Romans 7, so Galatians 5:18 is referring to the law of sin, not to the Law of Moses. The Spirit not opposed to the Father, but rather the Spirit has the role of leading us to obey His law, so it wouldn't even make sense to interpret Galatians 5:18 as referring to the Law of Moses. Furthermore, in Galatians 5:19-22, everything listed as works of the flesh 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 nature that are in accordance with it.