The Grace Message does not cheapen the problem created by sin; it actually recognizes that God is the only One that can truly handle sin. It recognizes that grace is not just about forgiveness; it is also the solution to the whole sin issue.
“For the grace of God has appeared that offers salvation to all people. It teaches us to say “No” to ungodliness and worldly passions, and to live self-controlled, upright and godly lives in this present age.” (Titus 2:11-12, NIV)
God recreates our hearts. He recreates our minds. And He gives us His Spirit. That new heart and new mind and new Spirit guides us to say “No” to ungodliness.