Let my try to clarify our position because I don't think you understand it.
You are right we are not under law "if" we are under Grace.
And you are right that works of the law do not save us.
we don't bring up the law because we think it saves. Jesus is the only one that saves us. So why then do we talk so much about the law?
Its simple, Jesus saves me from sin, Sin is breaking the law. If I am saved from sin/breaking the law then I will be keeping the law. not to be saved that is impossible, but because I am saved.
If you try to walk in love then you are trying to keep the law.
Paul showed what love one another was:
Rom 13:8 Owe no man any thing, but to love one another: for he that loveth another hath fulfilled the law.
Rom 13:9 For this, Thou shalt not commit adultery, Thou shalt not kill, Thou shalt not steal, Thou shalt not bear false witness, Thou shalt not covet; and if there be any other commandment, it is briefly comprehended in this saying, namely, Thou shalt love thy neighbour as thyself.
Rom 13:10 Love worketh no ill to his neighbour: therefore love is the fulfilling of the law.
Notice that love one another fulfills the law and then Paul shows that the commandments are in Fact a description of the standard of love.
To love one another fulfills all 10 commandments. Even though Paul only quotes some of the last six he also include the first four for love thy neighbour because it is impossible to love one another if we do not love God.
1Jn 4:20 If a man say, I love God, and hateth his brother, he is a liar: for he that loveth not his brother whom he hath seen, how can he love God whom he hath not seen?
1Jn 4:21 And this commandment have we from him, That he who loveth God love his brother also.
And John continues:
1Jn 5:1 Whosoever believeth that Jesus is the Christ is born of God: and every one that loveth him that begat loveth him also that is begotten of him.
1Jn 5:2 By this we know that we love the children of God, when we love God, and keep his commandments.
1Jn 5:3 For this is the love of God, that we keep his commandments: and his commandments are not grievous.
1Jn 5:4 For whatsoever is born of God overcometh the world: and this is the victory that overcometh the world, even our faith.
So the love of God is to keep his commandments and this through Faith.
Jesus is the only way to this love, it is the love of God shed abroad in our hearts.
Rom_5:5 And hope maketh not ashamed; because the love of God is shed abroad in our hearts by the Holy Ghost which is given unto us.
Jesus is love:
1Jn 4:7 Beloved, let us love one another: for love is of God; and every one that loveth is born of God, and knoweth God.
1Jn 4:8 He that loveth not knoweth not God; for God is love.
The law is fulfilled in love as we have seen.
Thus the only way to keep the law is to have Faith in Jesus and His love shed in our hearts by the Holy Spirit through the sacrifice of Jesus for our sins.