You don't need a "there is no God" experiment, at least if the only god that's actually on your hypothesis space is the abrahamic one
All other hypothesis win over an omnipotent god. That model has infinite complexity and allows every law of nature to be broken due to infinite power being an intrinsic part of that entity. You need infinite evidence to even start considering it over every other non infinitely complex hypothesis that doesn't imply everything we know about physics being wrong
And they don't even give it a good excuse unlike, for example, living in a simulation
As for the other gods... Well, whoever thinks they are likely will have to give at least some epistemologically valid argument for them. Which for the most part they don't, although I'm willing to be convinced otherwise
People require more evidence to believe a bench is wet than they do to believe in most religions. I'll convert once there's good arguments to convert, until then I'll chuck gods in the generic set of "unlikely stuff that needs more reason to be considered", which is quite the big set