More than a difference. I believe they are mutually exclusive. For a religion to be useful in a theocracy it must be framed as infallible, absolute and unquestionable. Our natural curiosity makes us want to test claims like this. If something is proven wrong when questioned you erode the entire foundation of that theocracy. The entire concept is doomed for failure (and/or utter brutality) right from the start.
A theocracy requires a constant threat of force to keep it's people in line. The only way to forestall that is to make people more afraid of the outsider than the state.
Any religion that WAS infallible would invite questioning. Then again, maybe I'm the idiot and in the afterlife our ability to follow rules when our every fiber screams to reject what we are experiencing is invaluable. Maybe our existence here as mortals right now is the only reprieve / training we get from an eternity of unhesitating obedience without terrible repercussions. Kinda a *censored*ty boot camp design if you ask me. Which, for the record, no god, angel or prophet ever did...