Actually, we should be able to OC with no permit.
The bar on carry on airliners is based on some irrational fear, two in particular: (1) that a firearm going off on an airplane will bring it down and (2) that carry will allow a rogue passenger to take control of the plane.
(1) It is almost impossible to take a plane down with bullets.
(2) If only one person is (or only a small handful of BGs are) armed, then, yes, they could (and have) taken over airliners. However, if several GGs are also armed, then the BGs taking control is a lot less likely. The airplane may have a few holes. There may be a few casualties. However, the alternative creates the possibility of another 9/11.
We should never allow BGs to ever take control of one of our airliners again. The best shot we have at preventing such a takeover is routinely armed citizens.