The initial response by the Jets was to suspend Alosi and fine him $25K.
The league later fined the Jets $100K for the incident and for Mike Westhoff publicly accusing the Patriots of doing the same thing.
Rex Ryan and Mike Westhoff maintained that they had no idea what Alosi was doing, even though Jeff Cumberland, a practice squad player that year, said they had been doing it all season (The Miami game was the 13th game of the season). When
you watch the clip, Alosi and the practice squad players are lined up right next to Ryan and the Dolphins player landed right in front of him. The league accepted their explanation and the media never questioned how a head coach could have this happening on his sideline for 3 months and not notice.
I bring this up because, with the ball deflation story, there was a disbelief in the media when Belichick said he was not aware of all the steps in the ball preparation process. Peter King even wrote that the footballs had to be tampered with by human hands and that was the only explanation. Somehow, Rex Ryan and the Jets escaped this level of scrutiny.