Having been through many US airports where troops are waiting for flights I think it is wrong that we are not prepared to let military personnel in uniform into civilian airports. Seeing a company of soldiers on their way to or from theatre would keep the military in the public eye and remind certain elements that we are part of society, too.
Slightly off topic, but since I have worked with US forces and seen how they stand in society I think we could all do our bit. For instance, I will now wear my uniform on the train if I'm going to a meeting or similar - feels a little weird on the tube, but otherwise it's no bad thing to be seen!