INFP here. I'm an atheist, but I'm not happy about it.
I think different types will have different reasons for convincing themselves to believe or for not dwelling on certain questions. Extraverted types may like the social element of theistic (or non-theistic, but that's not the topic) religion, NF types may like the assurance that the universe is ultimately a fair place, Js may like the sense of structure and some level of predetermination and certainty or security that most god beliefs entail. (Oh look, those were the first things that came to mind and they just happened to total ENFJ, statistically the most commonly theistic type. ) There probably are correlations but there are reasons for believing or not believing in gods that have nothing to do with MB type, as well.