I really believe that 'most hated team' is truly an individual experience for the fan. For me, growing up my whole life in the NYC Metro area, there is no team I despise more consistently then the Jets. Why? Because their fan base talks so much crap for an organization that has pretty much done nothing since the rigged Super Bowl 3....and yet they act like fans that have 5 Super Bowls. For some Bills fan not living in the NYC Metro area, I am sure it is a different experience.
I started watching the Bills in 1982...and oh believe you me, I despise all 3 of these teams in the division, but the hatred I had for New England in 1988 is nowhere near what it is today, because of their success. And I still get pumped for Miami games, but I admit if they are not good, it looses a little bit (again, just a little bit) of luster for me.