fox
Your confidence is not shared.
It's unclear what Bush really thinks, for three sound reasons.
First, he lies ("I've made no decision to go to war", "We've found them [WOMD]", "We are turning over full and complete sovereignty to the Iraqis", etc etc).
Second, he commonly speaks to placate a large and important fundamentalist voting block. See here...
http://slate.msn.com/id/1006378/
Third, there's no evidence, as the piece above notes, that Bush has either the intellectual curiosity or the educational prerequisites to have a sophisticated philosophy of religion at all.
We do know, from the statements of friends (PBS documentary we've all seen) that he holds one must be 'born again'. We also know that he's been quite happy to appoint fundamentalists to important positions (Attorney General), to forward policies internally and externally which hold to fundamentalist precepts (Olasky, funding to particular foreign aid programs eliminated or made contingent upon sex ed/abortion criteria, etc).
We do know that Bush holds notions of his own relative importance in a godly scheme of things (Woodward's book and elsewhere) which were certainly not voiced by the precedents you mention.
So, whether or not Bush matches your criteria for spotting a fundamentalist seems rather irrelevant.