It's not a movie.
Politics is lining up votes. He was trying to work within the league, then Goodell screwed Brady on appeal and he said he was wrong to put his faith in the league. that's actually something he would never say, but the league is so obviously corrupt now, it seems light.
Things aren't easy like in the movies, they aren't dramatic spy capers, it's just a bunch of rich old a holes trying to protect one source of their riches and once they decide that goodell is absolutely threatening that money, they'll get rid of him. For now, all but a few teams think they can't beat the patriots ever on an even playing field, so they support the corruption.
By the way, did you notice that Goodell has been forced to accept that he might have to give up some power over discipline? That's a big step. Who knows how long it will take? Guys that make 44 million a year don't go away easy.
He's getting pressure from somewhere.
http://espn.go.com/nfl/story/_/id/1...layer-discipline-discusses-deflategate-ruling