Sometimes they Do ..in the last minute.
You probably heard the story about the atheist who was lost in the woods and he was being chased by a big snarling, drooly-mouthed bear. So just as the bear was getting really close, and he was so desperately frantic and panicy, He tripped and fell and the bear goes up to pounce on him, he screams, "OH, GOD!"
Just at that moment, all action freezes -kinda like the squrriel in "Over the Hedge" and the bear's like in mid-air and God says to the athiest, "You mean all this time, you never cared for Me, and you ignored Me, and made fun of Me; am I to understand that you are ready to become a Christian?"
And the athiest says, "Couldn't you just make the bear a Christian, instead?"
So the next scene, the bear is folding his paws and says, "Heavenly Father, for that which I am about to eat, I give Thee thanks!"
It's only a joke, but, nevertheless, the attitude is often the same. "Scales of pride cover their eyes." as they did mine. In the last time they will even curse God because of the plagues, but they will not submit..some will.