One with centrist-to-conservative social tendancies and conservative fiscal tendancies. Bush had neither.
I suppose you could call him a neocon. Either way, he was not, and never tried to be, a true conservative.
I would say in general Bush fits for social, he was/is an evangelical after all. As to fiscal responsibility, well, let's just say that I guess you haven't seen any "real" republicans for a long long time, right?
I mean really, Reagan, Bush I , and Bush II all were not fiscally responsible at all, with ballooning deficits.
And since when does only conservative = "true" republicans anyway? Neo-cons, as to which there are many now, are "true" republicans, at least in the minds of most people, just by looking at the tea baggers, palin-ites, and other congressional members.
Do you have any recent Presidents that are "true" republicans? Any?