The one they had near me a couple years ago expressly forbid scanners and whatnot.... I thought how lame? Love to know who set that rule.
Here's some mention of it. Radio Scanners For Airshows - Page 2 - AirshowStuff Forums
Military?
I don't know of an airshow run by any component of DoD that allows radio receivers for airband or any possible gov/military frequencies.