I don't know if this is actually true. The right to keep and bear arms is guaranteed by the second amendment, but its a bit of a stretch to say that includes manufacturing of arms.
Nope, that's not how it works.
I'm not aware of a 2A case on point regarding firearm manufacturing (others may know more), perhaps because the federal Protection of Lawful Commerce in Arms Act offered sufficient protection. I am aware of a case on point regarding selling firearms. Earlier this year, Chicago's ban on selling firearms was ruled unconstitutional: http://www.volokh.com/2014/01/06/firearm-may-sold-acquired-o...
This makes sense if you think about it. The First Amendment right to freedom of the press wouldn't mean much if the Feds can levy a 10,000% tax on newsprint. Which is why the Supreme Court has held that such taxes violate the First Amendment: http://caselaw.lp.findlaw.com/scripts/getcase.pl?court=US&vo...