And nothing in the New Jersey law prevents a person from keeping a firearm in his or her home. The Heller decision upheld that. But Heller also admitted that some degree of control by the states on where firearms could be carried and by whom was constitutional.
I wouldn't say "admitted," as much as created a doctrine that allows bootstrapping of infringement as long as the courts drag their feet on issuing rulings.
The case I cited, Presser, says the same thing you just did. It upheld a law against conducting or participating in an armed parade without a parade permit. That is some degree of control on where firearms could be carried and by whom.
My contention is that a may issue legal regime (on paper) that is a no-issue regime as a matter of practice would probably be upheld by the courts, all the way through SCOTUS.
Heck, Washington DC's $500+ permitting process to possess a handgun in the home is seen as hunky dory by the robed tyrants.