Not to belabor the point unnecessarily, but where in the Second Amendment does it say anything about "... the right of the People (who pass a test) to keep and bear arms shall not be infringed"? My version must be defective, because my copy doesn't mention classes as a prerequisite to exercising a right.
....we've been through this. There is an abundant history of distrust and acceptance of regulation for the act of carrying a concealed weapon in this country.
Does the RKBA extend outside the home? Yes, but most state constitutions have provisions regulating it, and those have stood for over 200 years in most cases. One would have a hard time arguing that such a thing as so-called "constitutional carry" really exists, except perhaps in a militia context.
The subject of this thread is in the title. If we want to debate whether it's a good idea for states to mandate training, start another thread.