I don’t agree with your analysis of circular arguments. It seems to be saying electrons are more likely than God because we have a higher prior for electrons than for God. I don’t even think this is true, certainly before the discovery of both electrons and the bible not many people would have put a higher prior on tiny points of negative charge than a divine creator.
The real difference is not how well the evidence demonstrates the theories (as all that can really be said is that it’s “consistent” with them), but what the alternatives are and how well the evidence disproves them. In the case of God, the bible could well exist in its current form, as evidenced by the existence other religious books inconsistent with it (at least most of which must therefore have been created by man). On the other hand, without electrons there simply is no other explanation for the tracks. In this case the experiment knocks out all simpler alternatives. That’s the important difference—it’s in the alternatives not the theory.
I found myself geuinely confused by the question “You are a certain kind of person, and there’s not much that can be done either way to really change that”—not by the general vagueness of the statement (which I assume is all part of the fun) but by a very specific issue, the word “you”. Is it “you” as in me? Or “you” as in “one”, i.e. a hypothetical person essentially referring to everyone? I interpreted it the first way then changed my mind after reading the subsequent questions which seemed to be more clearly using it the second way.