We have to make an initial assumption first. Does God exist or not?
Yes(religion would survive) because (most?) religions believe in an all-powerful diety therefore the diety will not be part of the knowledge extinction. The diety would impart the knowledge of the religion back to a person(a prophet?) who he deemed worthy of taking on the task of preaching to the world.
This is just a repeat process of what is taught in scripture in the world's major religions.
Take Islam or Christianity for an example, where it started from 1 man and sprawled into two most dominant religions of the world.
If we were to say no religion wouldn't survive a ressurection, then this would be from the intial position of assuming an all-powerful diety with a plan for mankind doesn't exist.
