The carrying of a gun, particularly in states that don't require a permit for carry, or your method of carry should be equally protected, since 2A is a constitutional right, and not the "privilege" that we're always told that driving is.
That said, I don't ever envision SCOTUS ruling this way, bowing to the pressure of the "officer safety" bunch.
Driving should not be a privilege it is a right as far as i am concerned. I pay taxs, and commerce is not to be infringed upon. And the only privilege is buying and owning such of one can afford a car great. Regardless if it is a yugo or a rolls royce.. if you own one you should be allowed to drive one any public road. After all you domt have to have a liscense to drive a buggy down the street, a bicycle, a moped, a horse, or a golf cart do you? Nope... what makes a car or truck any different??