Snyder stays because Utah has never been a franchise willing to rock the boat too much with radical moves. Maybe Ryan Smith is different but i doubt it.
With that said, Quin should be lucky he's coaching the Jazz and not another franchise because I guarantee with how quick some franchises have been in the past to fire coaches (remember when the Raptors canned Dwane Casey, despite his being Coach of the Year, because he lost in the semifinals?), if we were another franchise, he'd likely be gone after two epic collapses in back-to-back postseasons.
Even though Carlisle hit a wall with Dallas, I'd take him over Quin because, at the end of the day, I suspect, at his worst, he's likely to get you the same level of postseason success we've seen under Quin. At his best, he can elevate this team into a true title contender (and not a pretender). Hell, at this point, I'd be okay getting the 70 year old D'Antoni.