The best teams in the league seem to be finesse teams that score a lot of points. Here's a list of the best teams in the league:
Giants
Eagles
Vikings
Bears
Saints
Falcons
Jets
Patriots
Colts
Broncos
Out of all those teams, I'd really only consider the Broncos to be a "hard-nosed" team that runs the ball and plays great defense. The Bears and Giants, maybe.
As for Super Bowl winners, the only hard-nosed teams to win the past 15-20 years were the Bucs and Ravens, and you might be able to throw the Steelers in there.
It just seems like the best teams in the league can put up 28+ points a game and can come back if they need to, rather than controlling the ball and trying to run all over a team. I understand what Singletary is trying to do, I just don't know if teams can win like that often in the league nowadays.