Your ballet hallucination sounds very much like the "failure to recognize thought as a thought" glitch - most likely, a fragment of your inner critical monologue which you weren't even consciously aware of.

I've read a fair amount on the sense of divine presence. Interestingly enough, people using the same research to argue for or against the existence of God. Certain brain activity in certain regions will give people a feeling of divine presence. But whether that means that the sense is merely neurons firing, or whether the neurons exist so that people have the capability of sensing God, is, of course, unanswerable. Like a lot of neurological research, it explains the "how" but not the "why."