The New Jersey State Constitution does not spell out a specific Right to Bear Arms.
It’s an important distinction to make, as the Federal Courts change interpretations of right to bear arms and the decision stands stare decisis in Federal Third Court or a decision by the US Supreme Court, the laws in New Jersey can then be challenged on Federal preemption of states restrictions of Federally protected rights.
Based on current court rulings, I do not believe SAF will win this case outright, though they might find a judge willing to force a more equitable and less capricious process for firearms permits in New Jersey.
The Constitution which supersedes the NJ ambiguous state law on the 2nd Amendment.
It just that to this day, no liberal NJ state judge has ruled in favor of private citizens.
The NRA never gave it a shot before and now a third party like the SAF has to do the heaving lifting again.