The rings would have to be lifted outside of Saturn's roche limit in order to form mons.

Your actualy pretty much correct. It's impossible to make a perfect clone of an atom, as you would have to know it's momentum and position at the same time, it's called the no cloning theorem. However what you can do is move that state from one atom to another, effectively just transferring it.

Incidentally this solves the whole uploading problem, as a perfect copy of your brain would neccesarily destroy the original.