I'm not a constitutional scholar either, but from my reading that does not prove your point. If it were so, any visitor wouldn't require a visa to to enter the USA, nor would they ever be able to be deported, or could anyone be considered an illegal alien.
In fact, "treaties"/laws are the how relations between countries are to be. The reasoning behind my original statement "You have the rights your country's behavior has earned".
How many domestic flights have been taken over by a US Citizen for hi-jacking, terrorism, or attack?
I still state that a single person's attempt, without a firearm, to enter a cockpit today will fail.
Bombs? Still a threat but we've really only moved the detonation location to the queue.