The 2nd ammendment is unique. It's the only one that contains justification for the right in question. The "well regulated Militia" part of the 2nd ammendment is the justification not the protected right. The right is grants is as follows: The "right of the people to keep and bear arms shall not be infringed."
In light of the whole text of the ammendment the supreme court in Heller has interpreted "the people" to mean any "law-abiding, responsible citizen". So the supreme court disagrees with you.. A single person at an airport IS still a "well regulated Militia"..
None the less... the meek and calow have conviced our government to trample our rights for their temporary perception of safety..