Well, rumcajz points out Bertrand Russell's objection, and apocalypstyx presents a fascinating aspect of the matter too, but the problem I'm talking about is the nature of implication/causation itself.
Rationality rests on implication.[1] The system we're talking about literally has "GOD -> anything" as an axiom, so it's useless for reasoning. If GOD -> (A -> B) for all A, B, and "->" then you can literally "prove" that anything implies anything else, or that everything implies God, but you can't disprove anything at all. Saying that there's a part of the system that can change anything about the system is essentially saying that there's no system at all. "Black is white and you get run over at the next zebra crossing."
If you believe that God will play tricks on you then you have nothing external to rely on. Again, this can be good or bad for a given person depending on their context. It's useless for reasoning, but you don't actually have to e.g. believe in Dinosaurs to reach God, so in that sense having no ability to rationalize can be a benefit if it prevents spiritual doubts. But many people instead are simply trapped in impoverished world-models. To wit: the Universe as revealed by scientific investigation redounds to the Glory of God far more than, say, the concepts of "young-earthers", or people who believe God a trickster.
[1] This is actually the one article of faith at the foundation of reason and rationality: that the Universe is comprehensible in terms of causation. The OP's father's god-image is jealous of even this wane and paltry rival.