Sorry, but my knowledge of Quantum is a little sketchy. Are you (or rather, is quantum) suggesting that space can't be divided into infinitely small chunks, and that there's a limit?
Scary.
Let's not forget that what appears to be empty might in fact be teeming with things we simply can't see. Perhaps it's so full of the invisible stuff there isn't any room for Galaxies (although I reeeaaaalllllllyyy doubt that), such as dark matter.
One can tell by the way that matter appears...
It's illogical for us to percieve it all, but not illogical to exist. As the question is assuming the universe is indeed infinite then I'd say that percieving the infinite isn't a problem.
I would actually argue that this doesn't mean there are an infinite number of copies, for there are an...