"Faith-based religion" is redundant, as religion is not religion without the element of faith. Rather, religion without faith is philosophy (atheistic Buddhism, for instance, but it would have to include lack of belief in the devas). Anyway, I've always found this question to be rather pointless and it has been created for the sole purpose of giving the religious atheist a way to evangelize. One might believe by faith that JFK was killed as a result of a conspiracy by some in government and have little to no proof for it - this hardly means that the individual is incapable of being rational about things, and for that matter, would discard his belief in the JFK conspiracy given convincing evidence that undermined it. Mind you, if at any point a religious doctrine contradicts formal logic and by extension, science, then the latter always objectively takes precedence. In short, believing in creationism is incompatible with science; believing in god(s) is not, because the latter is not a scientific claim.