The ubiquitious presence of cell phones with video cameras serves as a check on the aggregation of power. Those holding the power don't want to take this lying down: in a number of USA jurisdictions, police have tried to stop people recording video in public by citing wiretapping laws, or by throwing a bunch of random charges (interfering, loitering, etc.) at the person taping. Inevitably these charges get laughed out of court, and sometimes the police end up paying out settlements.
Across airline and other boardrooms right now, there has to be an ongoing conversation around "what are we going to do about this threat?"
United (surprise!) has been proactive on this front:
Thrown Off a United Airlines Flight for Taking Pictures! - Live and Let's Fly
My prediction: expect a significant crackdown, in about 9 months to a year, once the current brouhaha has faded. They'll either cite the privacy of other passengers, or offer some BS post-9/11 operational security excuse.