The difference is we have the righteousness of Christ. We are not soley dependant on works. It is Christ in us the hope of Glory. The unbeliever thinks they do not need Christ and can get to heaven on their own merits. The believer trusts that Jesus is the only way and no man comes to the Father except through him. We believe it when the bible says believe on the Lord Jesus Christ and thou shalt be saved. The unbeliever cannot follow Christ because they are slave to sin. We are constantly being sanctified by Christ for the life I live in the flesh I live by the faith of the son of God who lived me and gave himself for me. The unbeliever does not have that or the Holy Spirit.
I have been crucified with Christ and I no longer live, but Christ lives in me. And the life that I now live in my body, I live by faith, indeed, by the faithfulness of God’s Son, who loved me and gave himself for me.I don’t ignore the grace of God, because if we become righteous through the Law, then Christ died for no purpose. - Galatians 2:20-21
Bible Gateway passage: Galatians 2:20-21 - Common English Bible