The evidence that all perfectly natural mechanisms were set in place by God relies on the existence of God in the first place.
That sounds less like evidence and more like an assumption. You say:
Should an omnipotent and omniscient being exist, it's trivial to show that the current universe must have at least avoided the disapproval of such a being; and it is quite possible that the universe was constructed or altered into its current form.
I completely agree; however, I am not sure how you could get from "our Universe exists" to "an omni-being exists and takes notice of our Universe". I do agree that going the other way is pretty easy; but we are not omniscient, so we don't have that option.
I'm not going from "our Universe exists" to "an omni-being exists and takes notice of our Universe". I'm going from "an omni-being exists and takes notice of our Universe" to "said being controls the universe".
I may not have been perfectly clear upthread, so let me try rephrasing and explicitly stating what I had been taking implicitly: If God exists, then all perfectly natural mechanisms were set in place by God.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.