If you accept supernatural explanations for natural events, how do you rule out which supernatural explanation is correct?
(To be fair, I try to answer all questions and I see I didn't answer this one. Not that I expect people to answer all of mine. ;-))
I think your question should be, how do you rule out which explanation was correct; the supernatural one or the one that explains it through natural causes?
Once again, I agree that part of my belief system isn't science. But then again nobody would go over to Stone Mountain, Georgia and conclude that the images engraved on it were the result of some natural causation. It is inescapably the result of intelligent designers.