>> Does the right include so-called "assault weapons?"
Absolutely - and I would go MUCH MUCH FURTHER - ALL weapons, short of nukes, that the military and police have access to - INCLUDING ALL THEIR SAME TYPES OF AMMO.
There can be little doubt of this - private ownership of cannons was protected in the 'early days' - including the best gun powder, bullets, lead, cannon ball, iron nails and other ammo.
So the next time someone argues about 'assault rifles' not existing, just tell 'em that you'll go the 'naval 21 gun salute' route that private ships had in that day or yore.