Like ArronB: I cope better with crowds and the stress of airports by taking a few Valiums. One an hour before I reach the Airport and one when I get seated on the Airplane. I mostly Fly long 8-10 hours transatlantic flights between Europe and US, and I dread it every time. Over the years I have almost overcome my my social phobias.
On thing that can help is to carry a MP3 player with your favorite music it you noises and loud announcement from loudspeakers makes you even more jumpy. For me it creates my own little bubble and space. Airports does have some triggers: the partly undressing ...taking of coat, belt, and shoes .... and perhaps even risking a body screening. But the more often I fly the better I cope with the stressors of crowds and airports. I usually am tired afterwards since I have been more high strung than usual, but the Valiums sure helps.
I live in my own little world - but that is OK! - They know me here.