No to the green rabbits / God outside or beyond space and time.
However you might note, it makes no practical difference whatsoever.
To me, it makes all of the difference in the world.
Theists believe that something with infinite intelligence, which exists before space and time, created this universe.
Atheists believe that something with zero intelligence, which exists before space and time, created this universe.
Both theists and atheists recognize the fact that the universe did not simply come out from
absolutely nothing, that is just logically impossible.
Actually, there are certainly variations in the opinions of theists, and you seem to have made up "what atheists believe" and "what both believe."
My issue with your opinions is that they are nonsensical. I am not saying that in a perforative sense but strictly logical. Look at this phrase.
"before space and time."
How can there be a "before" if no dimension of time?
I probably understand what you are trying to say, but as written it makes no sense.
You'd like to think there was something bigger, vaster then the universe, in which a Supreme Being resides. Sort of a Giant House in which he has a jar of marbles of which this universe is one marble?
Thousands of years ago there was only the place called Earth, and the place called Heavens. That was the Universe as we understood it. It's considerably bigger today. It will quite likely be considerably bigger tomorrow than today.