I think this might work in only one direction. Material belief affects divine beings, but not the other way. And the Snarl with four quiddity is the most solidly material thing around. What they really need to do is get the Snarl to believe that the gods are invincible to it and then they will be.
Only works if it's alive though. :/
Yes, but it will be an extra two quiddity for the price of one because his color is polka dot.