It's a nuanced point that may be difficult for some to grasp, but there is a lot of overlap among "their fans" and "our fans."
E.g., my friends from CT who attended college at UVM and Northeastern are diehard Husky fans. If we play "their" school, they have more motivation to attend the game, often making it an event for the whole family. Of course they'll want their team to do well, but they are not delusional: They know we are going to win. And kids like winners. So, when we win, their kids often become Husky fans--if they weren't already.
@hthusky74: Thanks. That's what I thought. I've heard more than a few friends cite those New Haven Coliseum games as their first time seeing UConn play, and they mark their fandom from that point. And that really is my point: These guys remember their fathers taking them to games there when they were kids. They became fans. I think the same dynamic would happen with a couple games in Bridgeport.