The illogical is still illogical, just possible.
As -anything- is possible, there's no necessary relationship between logical and possible.
If you want to define omnipotent as the ability to do anything that is possible, then, as anything is possible, your 'limit' to omnipotence is one of mere rhetoric.
If you believe in the Supernatural then you can become a millionaire!
Questioning or criticizing another's core beliefs is inadvertently perceived as offensive and rude.
Reality is: 1 : the quality or state of being real.
Essentially you are saying this other dimension God is operating in is not real.
If it is not real, then it doesn't exist. If it doesn't exist, God cannot operate in it.
But if God can operate in it, it exists, and as such, it is a part of reality.