True machine guns like the M2, M240, M249 aren't assault rifles, nor are machine pistols.
We do need a new term for "military-style semi-automatic intermediate caliber rifles", but assault rifle is already used.
I'd suggest "black rifle" or "military-style rifle".
1) 100% transfer-time identity/legal status/mental health/etc. checks (NICS++)
2) Progressive licensing for possession (various classes of weapons); license the owner, not the gun. A gangster with a .25acp pistol is a lot more of a problem than my .338 Lapua Magnum rifle.
3) Streamlining all existing regulations, which is a combination of eliminating ineffective/irrational stuff (SBR/SBS being more regulated than pistols, 922(r) parts counts, etc.) and strengthening other parts (licensing, treating handguns and semi-auto mag-fed rifles more strictly, etc.) Deregulate suppressors, deal with SBS/SBR, and raise the full-auto tax to $2500-5000 indexed to inflation, but also allow post-1986 automatics under that restrictive regulation.