That is idiotic, unenforceable, and unconstitutional, and in no way a response to actual homicide statistics, in which handguns are the most popular weapon by a huge margin.
Eeeehhh, the constitutionality of it is still pretty questionable. Wasn't until the 60s the 2nd amendment was anything but a collective right so far as the law went, and it's perfectly viable to ban individual ownership in that case. And so far as I'm aware the constitutional basis of it as an individual right is still pretty tenuous, fifty-ish years later. Probably won't be seeing a return to that any time soon because, y'know, basically no one, pro or anti, liberal or conservative, actually wants that to happen, but it'd fit just fine into the constitution. Probably not the best of ideas, and yeah handguns are a substantially larger issue, but eh.
Though as to the paving thing, I'm pretty sure the road to hell's not very paved right now by those drivers licenses, tags, mandatory insurance, and road laws. Somewhat paved, because yeah, those systems
are abused a bit, but I... would think most of us (i.e. the entire nation) would agree those were things that infringed on peoples' rights that were damn good ideas to implement. If anything, the generally non-vital/recreational nature of firearm ownership means there'd be significantly less infringement going on with similar impositions than there are for driving right now.