I believe them. I don't believe in God, but I do believe that it's possible to have the subjective experience of a divine presence -- there's too much agreement on the broad strokes of how one feels, across cultures and religions, for it to be otherwise. Though on the other hand, some of the more specific takes on it might be bullshit, and basic cynicism suggests that some of the people talking about feeling God's presence are lying.

Seems reasonable to extend the same level of credulity to claims about enlightenment experiences. That's not to say that Buddhism is necessarily right about how they hash out in terms of mental/spiritual benefits, or in terms of what they actually mean cognitively, of course.

And people who claim to see cold fusion and canals on mars.

There is a happy medium between treating empirical evidence as infallible, and dismissing it as not conforming to your favourite theory.