God always "speaks" to people in whatever religious language they currently accept. I knew a JW that left it to become another form of Christian. He reported 'feeling Jesus in his heart' -- the whole bit. God reached into him then. Later he turned to paganism, and god started revealing "signs" to him, consistent with his new pagan views.
I suppose you could argue that God is there in all of these belief systems. But it seems odd to me that it should be this way, if it was truly external. If your god experience is actually coming from within you, this all makes sense.
In my opinion.
Dave