I'd agree that Catholic Church analogues are 'lazy' (though I'd suspect the writers would call them 'familiar' instead). But they're not unrealistic because Belief is not founded upon Logic. They're parallel/ immiscible concepts.
Or to put it another way people here don't think "wow, it's a miracle that my molecules don't fly apart/ collapse", but it is. You have to have exactly the right level of Fundamental Interactions for us to exist and you need that combination to have occurred from an infinite variety. Obviously it has, or this post wouldn't exist, so reading this is a minor miracle. Hope you all appreciate it.
Similarly turning water to wine with a spell may not be thought of as a miracle in a magic world, but it is. I can't think of a single world where basic real world physics doesn't exist, and that says you cannot turn one set of atoms into another (well, you probably can, but if you're mucking around with subatomic physics then there's a relevant Clarke quote instead)
Kind of disagree with the Jesus miracles, while he had some one off unique spectaculars he performed other miracles too, like healing. Not much practical difference between healing lepers or the blind or cripples and a Heal/ Cure Disease spell, and that was definitely a repeatable skill rather than one off.