Lawlessness or lovelessness?

If sin is lawlessness, and Jesus focuses the commandments into the greatest two being Love God, and love your neighbor, then the law is to love, thus lawlessness is lovelessness. So, if we act in love, we are acting lawfully, and if we act in sin, we are acting not in love, but in selfishness. We aren't supposed to manage sin, we aren't supposed to focus on do's and don't's, instead, we are to be motivated by love. I don't know anyone who doesn't like to be loved.