Nobody knows for sure, of course, but I did play an all-time Patriots tournament on whatifsports.com. Here's the thread:
http://www.patsfans.com/new-england...ever-my-whatifsports-com-pats-tournament.html
FWIW, the 2004 Patriots won that tournament. They were the #1 seed (the '07 Pats were the #2 seed), and here's the '04 team's path to the championship:
Round 1: #1 '04 - bye
Round 2: #1 '04 beat #9 '96, 21-16
Semifinals: #1 '04 beat #12 '86, 30-0
Championship: #1 '04 beat #2 '07, 24-12
Corey Dillon was the championship game MVP, as he had 21 carries for 127 yds and 2 td, and added 2 rec for 26 yds as well.
There. whatifsports.com has spoken.