People are free to categorize the law in whatever manner they want, such as categorizing it based on which body part that is most commonly used to follow or transgress it, but that would not establish that any of the authors of the Bible ever categorized the law in the same manner. However, the problem comes when people want to insert their own categories back into the Bible in order to create their own doctrines out of them when the Bible never uses those categories, such as arbitrarily deciding which laws are eternal when in reality all of God's righteous laws are eternal (Psalms 119:160).
The Bible often uses the same terms to describe the nature of God as it does to describe the nature of God's law, such as with it being holy, righteous, and good (Romans 7:12), so all of God's laws teach us how to act in accordance with His nature. For example, in 1 Peter 1:16, we are told to have a holy conduct for God is holy, which is a quote from Leviticus where God was giving instructions for how to have a holy conduct, so following those instructions is testifying to the nations about God's holy nature. Morality is in regard to what we ought to do and we ought to obey God, so all of God's laws are inherently moral laws. The existence of the subcategory of moral law would imply the existence of a subcategory of laws that are moral to disobey, but there are no any examples in the Bible of disobedience to any of God's laws being considered to be moral.
Likewise, the Bible never defines which laws are ceremonial or civil as opposed to be moral, so it is up for anyone decide for themselves. Are laws in regard to marriage moral, ceremonial, or civil? Is the law against theft moral or civil? Take your pick. Just early today, I was talking with someone who thinks that everything but the Ten Commandments are ceremonial laws. The Bible does not define it, so it up for anyone to decide for themselves, but people should not arbitrarily decide that certain categories of law are no longer binding under the New Covenant when the New Covenant still involves following God's law (Hebrews 8:10).
In Hebrews 8:10, the New Covenant still involves follow the Mosaic Law, so while the Mosaic Covenant has become obsolete, God's law did not become obsolete along with it.
At no point in Romans 7:1-4 was the woman ever set free from needing to obey any of God's laws, and if she ever got married to a second husband after her first husband died, then she would once again be required to refrain from committing adultery, so none this leads to the conclusion that in that God's law is no more.
In Romans 7:22-23, Paul said that he delighted in obeying God's law and served it within his mind, but contrasted it with the law of sin that held him captive, so Paul should not be interpreted as speaking against obeying the law that he delighted in obeying. If Romans 7:5-6 were referring to God's law, then that would mean that Paul delighted in stirring up sinful passions in order to bear fruit unto death and in being held captive, which is absurd, but rather it is the law of sin that he described as holding him captive.
Whenever someone was crucified, the people would write out a sign that listed the charges that were against them and nail it to their cross in order to announce why they were being executed (Matthew 27:37). This served as a perfect analogy for the list of our violations of God's law being nailed to the cross and with him dying in our place to pay the penalty for our sins, but has nothing to do with ending any of God's laws, especially because they are all eternal (Psalms 119:160).
These verses clearly describe what Paul was speaking about as being according to the commandments and doctrines of men, so he was not speaking about God's law.
All of God's righteous laws are eternal (Psalms 119:160), so Ephesians 2:15 couldn't be referring to any of God's laws. God did not make any mistakes when He gave the law, so He had no need to break down His own eternal laws. Furthermore, God did not give any laws for the purpose of creating a dividing wall of hostility, but rather His law instructs us to love our neighbor as ourselves.
It is speaking about the New Covenant high priest, not about abolishing God's eternal law.
The time of reformation when there will be a new heavens and a new earth has not happened yet.
The way to act in accordance with God's righteousness is based on God's righteousness, not on a particular covenant, and God's righteousness is eternal, so any instructions that God has ever given for how to do what is righteous are eternally valid regardless of which covenant we are under.
It does not say that the curtain being ripped means that God's eternal law has ended.
The reason that God commanded circumcision was not in order to become saved, so a ruling against something that God never commanded should not be mistaken as being a ruling against obeying what God has commanded as if the Jerusalem Council had the authority to countermand God.
In Acts 15:21, the expectation was that Gentiles would continue to learn about how to obey Moses every Sabbath in the synagogues.
In Colossians 2:16-23, Paul described the people who were judging them as teaching human traditions and precepts, self-made religion, asceticism, and severity to the body, so they were being judged by pagans. This means that the Colossians were keeping God's holy days in obedience to His commands in accordance with the example that Christ set for us to follow and Paul was encouraging them not to let any man judge them and keep them from obeying God.
If the way to act in accordance with God's righteousness were to change under the New Covenant, then God's righteousness would not be eternal, but it is eternal, therefore Hebrews 7:12 is not speaking about changes to the content of God's law, such as with it becoming righteous to commit idolatry or sinful to help the poor, but rather in context it is speaking about a change in the priesthood, which would also require there to be a change in the law in regard to its adminstration.
In John 1:16, it says grace upon grace, so the grace of Christ was added upon the grace of the law. Verse 17 does not contain the word "but" in the Greek, rather they are both listed as examples of grace upon grace.
God's laws are not arbitrarily given, but rather they are given to teach us about who He is, and He is the same yesterday, today, and forever. In Deuteronomy 13:4-5, the way that God instructed His people to determine that someone was a false prophet who was not speaking for Him was if they taught against obeying His law, so if you think that Paul did that, then according to God you should regard Paul as being a false prophet, but he never did that. The bottom line is that we must obey God rather than man, so we should be quicker to disregard everything that Paul has said than to disregard anything that God has commanded. God simply did not give His people any room to follow someone claiming that His law has ended. The New Covenant does not involve rejecting anything that Jesus spent his ministry teaching by word and by example, but rather it still involves following God's eternal law.