Theology question

Since Jesus is the way to the Father (John 14:23) and the way to eternal life (John 3:16), and... If Jesus' sacrifice was to take away the sins of everyone (John 1:29) (1 John 2:2) ... Then is it not theologically sound to say people face divine justice on Judgement Day only for not believing in Jesus, and not for their sins? It is rather their lack of Jesus, not individual trespasses, that condemns them?

(Disclaimer: I'm not a universalist)