I did a Power Poll for fun with those stickers Sports Illustrated sends you ever year to select your free fleece with a subscription, and I have Tampa Bay and Oakland as the bottom two. I think I remember a certain "Big Game" a few years back that featured these two teams.
That being said, there's little doubt that New England is putting all its eggs in one basket to get as many titles as they can while Bellichick is still the coach and Brady is in his prime. I wouldn't be surprised if the Pats are around 3-13 from 2011-2014.