The moon thing is interesting but I’m not at this point convinced it tells us anything really. If the moon didn’t happen to eclipse the sun would we miss it? It’s just one of those things that could be or could not be. I don’t think we’d be sitting on an earth without the moon thinking we really ought to have a moon that eclipses the sun but since we don’t there’s clearly no design.
I can’t get my head round the idea that the laws of nature are perfectly calibrated. (The so-called fine tuning argument) Maybe it makes sense or maybe it doesn’t, I just have no intuition on the matter. I heard an interesting take from a woman philosopher that reality is by necessity the way it is and it is not rational to talk about it possibly being otherwise. That seems as plausible to me as fine tuning, but I don’t know either way.
For me existence itself points to there being a ground of being or God along the lines of Aquinas’ five ways. Natural selection, if it’s true also indicates to me that reality is set up in such a way to produce rational creatures. (As argued by Alvin Plantinga) Again this points to there being a God. Plus the existence of consciousness, I think, is not properly explained on a physical basis and points to mental and spiritual reality beyond the physical.
For me these are good reasons for believing in God. The moon thing is interesting though and I’d be interested to know more about it. I wouldn’t trust AI for calculations however, because it still gets stuff wrong all the time and the only way to tell a wrong answer from a right answer is if you already know the answer. So it’s pretty useless.