Specifically, there are already heavy restrictions on automatic weapons, which are basically never used in criminal acts. Every automatically gun in the US has to be registered with the federal government for $200 and a lot of paperwork. In effect it means if you’re wealthy you can own automatic guns, which is a violation of the 2nd in a lot of people’s opinion.
What I think you meant when you said automatic is “assault “, which is what most of the gun debate is currently center on, so called “assault rifles”. The issue is that the term is not clearly defined, and under most proposed bans would include many rifles which were traditionally considered hunting tools. Even that is a bit of moot point, because the 2nd was not written with hunting in mind.
Another hot point recently is “ghost guns”, which like “assault rifle”, sounds scary enough on the evening news to grab eyeballs. “Ghost guns” are being used to justify government overreach by banning the sharing of gun plans for DIY construction. The issue is that again, almost no DIY guns are used in crimes. What are used are stolen handguns that have had the serial number scratched off. The stolen guns are grouped in with DIY guns as “ghost guns”.