I'm really not sure how the NFL is supposed to police what these guys do when they're away from the field, but they're finding out now they had better think of something
Ex-FBI director to seek truth: Did NFL lie about Ray Rice video?
Every one of these what-did-he-know-and-when-did-he-know-it type controversies inevitably drifts into speculation about high-level people being forced to resign. The media loves to pursue pounds of flesh, and the more elite the flesh, the better.
It is very hard for me to imagine that the NFL will oust Commissioner Roger Goodell over the Ray Rice investigation. There's no doubt he blew it by imposing only a two-game suspension with his initial verdict, and by changing the punishment when TMZ's release of the security video made the NFL look bad, I'd say he made the situation worse by reacting more out of concern for the league's reputation than out of any real sense of justice.