> So let’s hypothetically ban automatic weapons.

We effectively have. Or do you mean semi-automatics?

> How’s your lesser gun supposed to keep up with that?

Occupation would require patrols, curfews, etc. The idea would be to use a cheap weapon to kill the soldier and take a better weapon of off of them (I believe this was the concept behind the Liberator pistol in WWII).

Would it work well enough to provide effective resistance to the occupiers? I'd say probably not; the French resistance wasn't able to liberate France from the NAZIs using similar tactics.

edit: fixed typo