Also:However, the subject of where the Q lie on the spectrum of humanity's possible future development was addressed in "Hide and Q" [http://www.chakoteya.net/NextGen/111.htm]:
RIKER: Aeons. Have you any idea how far we'll advance?
Q: Perhaps in a future that you cannot yet conceive, even beyond us. So you see, we must know more about this human condition. That's why we've selected you, Riker, to become part of the Q, so that you can bring to us this human need and hunger, that we may understand it.
That would seem to come pretty close to implying that the Q are not divine.
QUINN: But you mustn't think of us as omnipotent, no matter what the Continuum would like you to believe. You and your ship seem incredibly powerful to lifeforms without your technical expertise. It's no different with us. We may appear omnipotent to you, but believe me, we're not.