Kickstarters are for games without a publisher to fund them (or studios that want to make a game without a publisher... or again they have not found one yet and they want to prove to the publisher there is some demand when they negociate the publishing agreement)...
Sony is a publisher, they own the studio... why would they risk alienating people if the game gets canned because they don't like it?
Anyway, why would anybody ever fund something like that? it has all the risk of an investment, with none of the possible benefits ($$$$) it does not even pay as much as lending, and there is ZERO guarantee that it will ever work, no matter how the studio is reliable.
Talking about reliability, most ND games get at least 1 delay, so chances are people would get pissed at them.
Anyway, it's not as if they could not fund it, the problem is, if you listen the interviews with current Naughty Dog staffers, they really seem to enjoy darker toned games like The Last of Us and Uncharted, so we will see more of those before we see anything related to Crast (or some other of their cartoony franchises).
Your suggestion is just calling for trouble, and this is wrong 
kickstarters are nice and cue to help a small studio get started if they have a good idea... but otherwise it makes no sense.
