As far as I know, Mormons teach that God the Father has always possessed a body of flesh and bones. They don't find John 4:24 ("God is a Spirit") as somehow contradictory to this believe claiming that only one part of God is being mentioned here without limiting God to being only that one part - just like, for example, in 1 Pet 3:20 ("eight souls were saved by water") Peter calls humans souls, but he doesn't mean that they didn't posses bodies.
They often use the example of Jesus after His resurrection, Who, while possessing a body of flesh and bones, still retains all the qualities that are usually ascribed only to God, for example, His omnipresence.
I wonder if biblical hermeneutics allows for this belief. If not, please, point out those places that speak against the validity of this belief.