In Deuteronomy 5:31-33, Moses wrote down everything that God commanded him without departing from it, so all of the Law of Moses was commanded by God, which is why it is referred to as the Law of God in verses like Nehemiah 8:1-8, Ezra 7:6-12, and Luke 2:22-23. All of God's commands have the same moral authority regardless of where they are placed or of whether He wrote them or told Moses to write them, or even if God had just spoken them without anyone writing them down. The Bible never refers to the Ten Commandment as being the Moral Law and never suggests that we can be acting morally while disobeying everything else that God has commanded. For example, do you think that it is not immoral to commit rape because it is not one of the Ten Commandments? God has given many more commandments than the Ten Commandments, so when the Bible refers to My Commandments or His commandments, then it should be understood as referring to all of them, not just ten of them unless is specifies that is only referring to ten.
The Mosaic Law has 613 commandments, ten of which are the Ten Commandments. There is nothing in the Bible that states that the placement of the other commandments means that they are temporary in nature, but rather all of God's righteous laws are eternal (Psalms 119:160). You are concocting whole doctrine around where God's commandments based that is not derived from what is stated in the Bible.
In Matthew 5:17-20, Jesus said that he came to fulfill the law in contrast with saying that he came not to abolish it and he warned against replacing the last part of it, so you should not interpret fulfill the law as meaning the same thing as abolishing and as relaxing most of the Mosaic Law.
Those who reject the vast majority of God's commandments should not consider themselves to be obeying all of God's commandments.