this question pitched?
If the question is how God actually intervenes in the physical universe, I
suppose he can do whatever he wants--become incarnate, divide water molecules,
rearrange atomic structure to turn water into wine, etc. He's supposed to
be "immanent" in creation (NB: I don't really know what that
means!), sustaining all things by the word of his power.
But if you're asking about brain processes that might simulate divine or
mystical experiences, then everything you listed is possible.
Various diseases--psychotic disorders (schizophrenia), mood disorders
(depression or mania), drugs (anticholinergics, dopaminergics, LSD, PCP, etc),
degenerative diseases (Lewy body disease), strokes, sensory deprivation (e.g.
blindness, deafness) etc.--with known or unknown pathologies, can induce
hallucinations, in varying modalities (auditory hallucinations tend to be more
associated with psychiatric disorders, whereas visual or tactile hallucinations
are more clearly due to structural or metabolic derangements) and of varying
degrees of detail/well-formedness. We don't really know the mechanisms
behind such hallucinations, and there may be more than one.
Seizures can also produce all of the phenomena you list: vivid sensory
experiences; vague feelings like deja-vu or jamais-vu. I suppose
religious rapture would also be possible, as well as feelings of certainty or
misgiving, that could be taken as hunches or nudges; and funny visceral
experiences (stomach rising,
butterflies).