From what you say Drich, it seems like empirical evidence should be available to show that God intervenes. For example, with the dreams, I'd like to see some scientific journals that show the test subject was being contacted by God. Whether it be that particles materialised in his brain, sound was being produced by God and his ear drums were picking it up.... whatever it is, YOU claim that the believer is being messed with in some way, shape or form.
"It is the mark of an educated mind to be able to entertain a thought without accepting it" ~ Aristotle