I've been more violated entering NFL games than going through airport security, on average.
The problem is that the American people want to do anything about terrorists, crime or "for the children" at the expense of our civil liberties. It's entirely irrational. TSA at NFL games will not even remotely begin to change that.
There was a bit of an uproar about the increased security measures at NFL stadiums some years ago but it died down and things went on as usual.