We're sick and tired of interventionist policy, since Korea, Viet Nam, etc, etc, etc.
To hold American citizens culpable for the actions of the government which lies to us and spies upon us while claiming "Moral High Ground" is to ignore the fact that we are no longer informed, so the "consent of the governed" is no longer present.
You must not get out much. There are a lot of Americans chomping at the bit to "stick it to those ragheads." It doesn't matter which Middle Eastern country, as long as we go over there and "kick some ass" against people that are different than us, they are 100% on-board.
I've become quite a cinic about these things and I think economic power / money will usually be behind most of it. Unfortunately I don't believe in countries helping poor people in remote lands, government worried about killings, pride in being the beacon of democracy, etc. It's all about power and money.
The contracts only allowed very specific air corridors (3, to be precise), which is one of the points why the airlift was so hard to implement at full capacity.
The Allied forces had quite extensive rights in all the other sectors, and not just in Berlin. For example, military vehicles were considered extraterritorial, and had to be let in. And that's what the US and the UK did: they drove into East Germany and rather openly spied on Soviet troop movements and maneuvers.
The Austrian Airforce found out about that, and intercepted and sent a few F-117s back to Germany.