Found this testimony googling from a former atheist, Marilyn Adamson:
I didn't realize that the reason the topic of God weighed so heavily on my mind, was because God was pressing the issue. I have come to find out that God wants to be known. He created us with the intention that we would know him. He has surrounded us with evidence of himself and he keeps the question of his existence squarely before us. It was as if I couldn't escape thinking about the possibility of God. In fact, the day I chose to acknowledge God's existence, my prayer began with, "Ok, you win..." It might be that the underlying reason atheists are bothered by people believing in God is because God is actively pursuing them. (ref: http://www.everystudent.com/features/isthere.html)
And yet there is a point where God will honour your choice to rebel against him and His weighing abates. However God is always there and you are always completely surrounded by His presence through all things created and God is always there until the end always waiting for you to acknowledge Him.
For those that have acknowledged and accepted His way of salvation (not yours) then:
John 14:V27 - I am leaving you with a gift—Peace of mind and heart. And the peace I give is a gift the world cannot give. So don’t be troubled or afraid.
Seek the real peace.