What's likely the problem is that Giants fans are smart, loyal, and know what's going on with their team.
In Arizona, the stadium is 2/3rds full. 1/3 of the fans root for the Cards, another third roots for whoever the visiting team is, and a third of the stadium is empty. The Cards suck every year, so nobody pays attention to them unless they're doing well... hence, nobody boos the home team because: 1. they expect the Cards to suck, and 2. "wait, what was their record last year... and Kurt Warner is still the QB, right?"
In the Meadowlands, there's history and tradition. Football is a pastime, but it's also what brings people together and is a way of life. Fans know that outside of the magical Super Bowl Win, Coughlin's teams always fade down the stretch and lose in the first round of the playoffs to the Eagles. They know the teams fuck up for the same reasons every year: turnovers and injuries. And as stated in the article, they pay GOOD money for tickets... they don't buy them from a scalper outside the stadium for eight bucks a piece... they actually expect their team to try and play hard for the money they've spent.
Antrel Rolle hasn't known to this point what it's like to play for a team that has fans that actually CARE about their team, but he'll probably learn. "There's never a reason to boo the team" is a totally naive thing to say.