Sure, broadcast licenses are like "time, place and manner" restrictions on the first amendment. They can only be used for "deconfliction", not as an excuse to ban some points of view from being expressed. You can't have two stations using the same frequency in the same area. No one's message would get through in that case. Thus the need for deconfliction.
No such justification is available for keeping and bearing. Actually firing, sure, guns are noisy and my right to shoot ends at someone else's ears, among other organs. (Of course that wouldn't be nearly the problem if the government allowed sound suppressors without all the NFA infringements)
Bob Shuler and Gene Scott.
Secondhand noise?