Frankly, I'm skeptical of new gun control legislation and, additionally, I believe in the necessity of guns in the hands of law-abiding citizens as a means of self-defense. In fact, I suspect that probably too few people in that category in our our cities own them.
Where I think many of the pro-gun folks get things wrong is automatically assuming that anyone who supports the restrictions you mention wants to go after other weapons, along with the very misinformed belief that the Framers inserted the 2nd Amendment to give the people the right to protect the people against Leviathan. That was not the intention of the 2nd Amendment, whatsoever. It was actually the opposite. On the heels of rabble-rousers threatening state governments, it was necessary to protect the right of firearm ownership such that when it happened again, the government could call up militias that could put down those rabble-rousers.