What God has been revealing to me lately was that the Law of Moses is not between me and God anymore, and that sin really seems to be something else than transgression of a DIVINE law, because there simply is no such thing, God is reserving his freedom.
Instead sin has to do with our own convictions, with the rules we live by, and some of them are traditioned to us, some of them we make ourselves. For example, I have the habit of almost never swearing, and for me this is almost a law, I follow it meticulously. But there are people who swear liberally and I don't think they're worse than me or that my principle of not swearing counts for them too. Morality is significant, but it is not given to us as stone tablets anymore, that was just for the jews.
What we do have as a commandment from God is that there should be courts of law, that there should be law. That is what God told to Noah after restarting civilization, and by extension that counts for us too. But the mosaic code of laws and regulations was given to the jews only. We can read that code, we should read it with an open mind so we can learn something, but ultimately we must actually be mindful of not making ourselves the servants of this code, because the codex is such that it is the power of sin and hence won't help us - I rather want my sin to be dead. There is nothing in NT scripture that allows us to keep the mosaic code, and this is not some advice or idea, it is almost a command in itself. Paul connected law-keeping to being a life after the flesh, and so we need to heed the spirit instead who takes pleasure in a far better concept of justice and righteousness.
The righteousness that we need and that we should pursue is based on the love of God for His creation that He saves from all significant perils to eternal life in Jesus Christ. And this righteousness we get for free, and it is activated to our consciousness by faith in Christ (to honor the UR connection) and it will come to everyone eventually, either in this world or in the world to come.
If I wanted to analyze my sinfulness (that I am missing the mark), then I don't go to the mosaic code, I go to the law of love. Love means something mutual, so I'm not just slaving once more, it's instead about a social reality of happiness that is to be achieved, including my own happiness and the happiness of my neighbor. What we're speaking about is, do I detest humans? Am I abusing anyone? Do I violate my own or the dignity of other people? Basically it is about things that really almost every human knows about, it's nothing new really. Bringing the mosaic code into this has no purpose. Humans can have morality and a sense of ethics without the law.