Wow! That law sounds terribly unconstitutional.
In the couple of accounts that I have read on this story, I get the impression that in New Jersy one needs a concealed weapons permit just to transport a weapon.
And if that is the case, then I would say that such a requirement places an undue burden on the part of weapon owners since it would require them to get a concealed weapons permit so that they transport their weapons for the purpose of selling the weapons, buying additional weapons, selling the weapons that they already own, getting their weapons repaired, using their weapons at a shooting range, and so on.
Unless, of course, the State were to make it very easy to get a concealed weapons permit; but, if the State does make it very easy to get a concealed weapons permit, then there is really no point in the State even issuing concealed weapons permits to begin with.
This is one of those weird cases that just keeps getting weirder every time that I think about it.