In order to replace the world's current energy mix with nuclear, we'd have to switch on a new nuclear plant every day for the next several decades. All of that new infrastructure would also require massive amounts of fossil fuels to build (which you've magically made illegal) and would only last a few decades before having to be replaced (presumably without requiring any fossil fuels by then).

There isn't even enough copper on earth to electrify everything.

Your scenario isn't a miracle; it's a pipe-dream.