In the next post-nuclear Neo-Barbaric Period will the cave people worship the 4 faces on Mt. Rushmore as gods?

Or in the next post-cometary impact period after civilization is entirely annihilated and a scant handful of survivors (the new cave people) emerges, will the faces of the 4 U.S. Presidents on Mt. Rushmore be worshipped as gods by the Neo-Primitives?