Bit of a poor analogy there. For the most part they don't *actually* want to ban *all* guns, they just want to make them as difficult to access as, well, airplanes.
To use even a small low-powered airplane takes many hours of training from federally-rubberstamped instructors, background checks, AND they're so expensive only those with means can afford them. Want to use a high-powered "dangerous assault airplane?" Well, THAT pretty much requires a career choice with a federally approved flight agency... or be one of the wealthy connected elite.
Now, there are little single-passenger "toy" airplanes that anyone can own without any gov't interference, but they're about as practical for doing "airplane things" as a blackpowder muzzleloader is for doing "gun things" (which basically means useless for anything other than occasional fun on the weekends).
So let's not give hem any ideas, eh?