American deer hunters alone constitute the largest military on Earth (save perhaps just behind China). That's 18 million well-equipped snipers (never mind the other 50M armed citizens). ...and a very large fraction of the military would likely be on the side of the deer hunters (complex cultural explanation omitted), so the assumption of the army remaining loyal to the government under such circumstances is in grave doubt.

BUT...

The issue at hand isn't overthrowing the government, it's denying the weak their tools for defending themselves from violent assault. We have due process for doing so; the bill being disparaged in the lead article ensures doing so is in fact via due process, and not simply a faceless bureaucrat checking off a box on a form for some trivial reason (which is a serious problem).