Before I answer, I proffer a few assertions:
1) Liberal hysteria is counterproductive because it is driven by hatred of guns/gun owners in toto. It invariably devolves discourse into finger-pointing histrionics.
2) The NRA is organized, and the Liberal Left is not.
3) The 2nd Amendment is not an American invention. It originated in English Common Law as a right to self-defense. Citing the "organized militia" language will get you nowhere.

To your question: 
a) Good people buy guns to hunt, or because they value safety. Do not introduce legislation that hinders them. You need their votes. 
b) Create new federal designations with streamlined permitting by intended use: 
Revolvers, .22s, and lever guns as "home-defense" arms.
Hunting guns as "sporting."
c) Make semi-autos harder to acquire. Call them "law enforcement" level firearms with closer record-keeping, mental health checks for more than one, with odd-year re-registration.
d) Ban aftermarket mods.
NRA will resist.
Don't quit.