I can think of at least two other stable states - in one, you've had an experience that has acted as strong Bayesian evidence for you of the evidence of $DEITY, but which is either a purely subjective experience or which is non-repeatable. As an example of this class of event, if I were to pray "Oh Lord, give me enough money to never have to work again" and then two hundred thousand people were to buy copies of my books in the next five years, that would be enough evidence that it would be rational for me to believe in God.

Another stable state might be someone who has been convinced by Frank Tipler's Omega Point hypothesis. Tipler himself is now clearly extremely irrational, but the hypothesis itself is taken seriously enough by people like David Deutsch (who is one of the less obviously-egregiously-stupid public intellectuals) that it's not obviously dismissable out-of-hand.

I'm sure there are others, too.

EDIT - when I said "in the next five years" I meant to type "the next five minutes", which would of course be much stronger evidence.