But that experience in your heart is not the new birth. It's simply the voice of truth, the voice of the Holy Spirit testifying about Jesus. This is all explained in 1 John 5:9-11. There it explains how some believe the testimony of the Holy Spirit, while others reject it, in effect calling God a liar.
Revelation has to come before conversion. And as King Saul shows us, all you need is the presence of the Holy Spirit to be able to see the unseen. You do not have to be saved to see the unseen (1 John 5:9-11). He was gifted in prophecy when the Spirit was present, but was a raving mad murderer when the Spirit was not present.