That view conflicts with many passages of scripture, such as 1. "we are born dead in our sin" how can a dead man choose? 2. " none seek after God, all have gone astray", then we have the book of life and other passages where Jesus describes the lost seeking but not being able to find because god has deliberatley hidden the truth from them.You are ignoring the fact that God gave man free will. Men can actually CHOOSE whether they want to believe the gospel and become saved or not. If they choose not to believe, there is nothing God can do about it.
I can find many verses if needed, I would just need a bit of time.