How about when one does not hold one belief to be prominently truer than another, but holds on to one consistent set of beliefs that their view of the universe and their morality are based upon, and which they cannot change gradually, because that would lead to inconsistency, and then one goes and accumulates enough evidence against the individual beliefs of one set and in favour of those of another set to decide to change sets entirely.

Religion-coded and other similar worldviews are not buffets, you either take the whole menu or nothing at all. You can't divide it in bits the same way you would treat, for example, Marxism. It's all or nothing.