Though I had meant it in a different way, I do agree with the similarity you have pointed out, regarding organization of both religion and science in general.

Regarding the questioning aspect:

I would say that all religions originated out of questions, they were early attempts at science (that is,.. attempts to answer questions on natural phenomena and the unknown - at that time), but over time they just evolved into ideologies that no longer tried to answer phenomena.

Why I say this?

without going into a monologue - all current religions, monotheistic or polytheistic, were predated by earlier polytheistic versions which were more or less dominated by deity worships. The deities were more often than not the powerful and frightening phenomena that people couldn't explain back then. It wasn't different from culture to culture neither, the Norse had their Thor and Hindus had their Indra, both for thunder, the Egyptians had their Ra(sun god) and so on.

If the ancients had better tools for the analysis of phenomena, I am sure they would have come across better conclusions, just like JJ. Thomson would have come up with a better model than the watermellon model for the atom, if he had better tools for investigation.