Good point. The inference is on a Creator, and we would like for such a Being(if it exists) to be well qualified in order to create a universe and be capable of knowing every living thing intimately. Infinity is a preferred characteristic of such a Being.
It's what we'd prefer, yes. And if wishes were deities ...
are you implying that GOD, if God exists, is radically different from what we likely would prefer?
Well, I was just pointing out that our preferences don't come into it. We'd like a creator of the universe who was good and wise and so forth. We'd also like it if cigarettes weren't carcinogenic and chocolate was slimming. What we want doesn't make any difference to what is the case.
But in answer to your question, clearly if God exists he's different from at least what I would want (I can't speak for you) because if he exists I'd like him to manifest himself rather than hiding and pretending that he's not there.