Although right-to-carry as understood in most [free] states would be nice in NJ, I'm not sure that I'd want to exercise it, even if within the confines of the law there. Reason being, NJ LEO's (especially NJ State "Troopers") have an extraordinarily negative predisposition toward us "civilian" firearm owners; a behavior which I suspect is only encouraged in their training and reinforced by departmental fiat once on the job. Although I'm sure there are some closeted pro-2A cops throughout the state, odds are you'd be in for an unpleasant experience if discovered to be carrying a weapon anywhere in the PRNJ, permit or otherwise. I'm sure the police are equally as unfamiliar with the mythical NJ CCW as are the general populace, so be prepared to deliver a lengthy (and convincing) explanation if ever detained under such circumstances. BTW, you will be handcuffed, and most likely arrested. For the officer's safety, of course. However, this discussion is largely academic anyway, since the law was never passed.
You can bet your bottom dollar there'd be a frantic effort to amend the relevant NJ statute(s) governing the carrying of firearms if the aforementioned bill had passed, once the esteemed legislature realized how many individuals would now be prima facie permitted to carry a gun. You can expect to be barred from carrying in bars, restaurants, airports, seaports, grocery stores, playgrounds, and any place where more than, oh, let's say, 10 people congregate at any given moment. This would be for our safety, of course. After decades of brow-beating gun owners, there's no way the NJ Legislature would just throw up their hands and go peacefully into the night after something like that.
FWIW, I reside in a gun-hating state [not by choice, but that's a story for another day], and I fully agree with those who see passage of this federal legislation as a bad idea. Although those of us unlucky enough to live in NJ, NY, CA, MA, etc. would ostensibly stand to benefit from such a law, it is nonetheless tantamount to allowing the camel's nose under the tent. You do not want the federal government involved in this. Although many here lack the means to simply get up and move to a free state, such still remains the most effective solution for instantaneously improving one's circumstances WRT one's 2A rights. This is federalism at its core, and is no accident. This is how the Founders structured our system of government; to give at least a place of refuge that would comport to an individual's preferences, should one find one's original state's form of government no longer suitable. Activists should focus on improving gun laws in NJ to the level of those in places like TX, FL, PA, and not encumbering the latter with federal intervention that will eventually create problems where there were none before.
My apologies to the Mods if I've drifted too far into politics here.