I see the term anagogy used in different ways. I assume by anagogic effect you are referring to a uplifting or spiritual feeling that can be produced in certain situations.
But are you that certain about what people have faith in?
It seems to me that faith is a response to the anagogic effect, both of which are certainly not fictional. We can argue first causes, but it will degenerate into the sort of 'quality of question' argument that Michael Hardner has pointed out, or a point of terms that TimG is proposing. But the faithful adhere to a set of actions, behaviours or thinking patterns - all "man made" - that are intended to produce the anagogic effect whether it is 'divine' inspiration or a simple feeling of social security. The anagogy is the 'proof' of their faith (or the proof their faith requires to continue it) and it is indeed very real. It has produced an overwhelming body of evidence in testament to its reality.
I am not talking only about religion, but all creative human endeavours although religion seems to be the most sophisticated of these anagogic effect producing activities at this time.
Based on that assumption I think your opinion that the anagogic effect of ritual, actions and behaviours creates faith is backwards. I would argue that this effect is not felt by the many religious folk, just putting in time and going through the motions. I have no doubt that the truly faithful can experience this effect. However, like the placebo effect I don't think people actually have faith without belief in a real god in the first place.
Anyway, a real feeling produced by real rituals does not make the underlying mythology real or true.