In addition to this, the 2nd amendment applies to the original Constitution "in order to prevent misconstruction or abuse of its powers, that further declaratory and restrictive clauses should be added" and therefore applies restriction to taxes 'infringing' the rights of keeping & bearing arms... AND to the commerce clause.
There might be argument that the 16th Amendment could be used to apply against weapons at the point-of-sale, but that has not been argued as the power/authority by which the right is regulated.
Another case to look at is US v. Leary. When the Government pulled the same stunt on marijuana and Dennis Leary handed their butts to them in the late 60’s. The MG ban is very similar in wording as the marijuana ban then.
Those tax laws are a pain sometimes.