I'd still take the regular HOF, without the Pats, then just the Pats, and I'd dominate. There are just far too many great players spread throughout the league for this to be any sort of real contest. Frankly, I think you could argue a team like Steelers, Cowboys, or Niners would have a better team than the Patriots anyway. I mean imagine if you just started with the Ravens 2000 defense, then you added players like Lawrence Taylor, Dick Butkas, Mike Singletary, Ronnie Lott, etc. Then on offense you start with a team like the 90's Cowboys and swap out Aikman for Montana, add guys like Anthony Munoz to the line, put Jim Brown and Walter Payton along with Emmitt Smith, add Jerry Rice, Cris Carter, etc.
This notion that one team's HOF eclipses the other 29 teams HOF is just silly nonsense.