"Goditit" also known as "God did it" responses are not inherently irrational.
Rational argument (rational: meaning, exercising reason and/or logic) for God did it response:
"How did X happen?":
Sufficient condition = "God did it"
"How did he do it?":
Because God is able to do anything.
Sufficient condition = God
Necessary condition = able to do anything
"How do you know he can?":
I don't need to "know" something to be practicing rationality or logic. To be rational, as I understand it.. I just need to have a logical construct, or, one that is not illogical (logically contradictory).
If you accept these relationships (between necessary and sufficient conditions) as valid.. then, it would seem, you are agreeing that it is logical. (granted of course, you must have the same understanding as I have stated of rationality and logic. Mainly: if you what is logical is rational)
Whether it is "plausible", I believe, is another issue.
Anyways.. I'm not stating that I believe aforementioned construct.. just-- presenting it for response.