> As far as I'm aware (I'm open to being proven wrong), gun lobbies in the US want no restriction on the ownership of firearms, period.
A few notable examples of regulations that many pro gun lobbyist like are bans on machine guns, Short-barreled rifles and shotguns. [0]
After the Los Vegas shooting many pro gun organization pushes for banning bump stocks [1]
Many of those organizations want to take away the right to any firearm from felons.