Well, if there really is a God, and he is creator and overseer of our universe, then one must deduce that the universe without God wouldn't exist. In the absence of the the necessary creator, there could not be a 2nd universe.
Unless of course, you are implying that the 2nd, godless universe was created by the same god who oversees the 1st, but was abandoned after the creation, or sometime after (i.e after the creation of life). Then I suppose the godless universe could continue to exist without supervision.