You seem to misunderstand the peace that Jesus is referring to.
John 14:27: Peace I leave with you, my peace I give unto you: not as the world giveth, give I unto you. Let not your heart be troubled, neither let it be afraid.
The peace that you are referencing is basically a cessation of...
It is implausible. A christian is one who has an intimate relationship with their GOD. You can't have a relationship with one whom you don't even acknowledge exists.
I find it particularly irritating that this bit of disinformation is constantly promulgated. This should put this to rest (from a biblical point of view):
Revelation of John 21:6: And he said unto me, It is done. I am Alpha and Omega, the beginning and the end. I will give unto him that is...