What AP ammo? What "auto" weapons? 
I assume you mean armour piercing handgun ammo, as virtually all rifle ammo is already "AP". Simple physics, move a small, dense mass fast enough, it'll punch through. "AP" handgun ammo is already illegal. Has been.

Full auto weapons have already been made illegal to transfer to non-government entities if manufactured after 1986. It's a fixed supply. The NFA of '34 already imposes a 200 tax on legal transfers, and a burdensome undefined waiting period, along with a stringent background check and other obtuse rules. 

If you mean semi-auto, then you're talking about virtually all handguns (excepting revolvers) and most types of modern rifles. Anything that does not require an action on the part of the shooter, such as working a bolt, thumbing a hammer/turning cylander, pumping a slide or running a lever to empty and reload the firearms chamber is a semi-auto. 

As far as discussing gun control schemes, the starting point is repealing existing laws.