according to US News, 99.4% of all those attending NJMS are in-state students. So if you go by that, and approximately 693 students, that means about 4 students live outside NJ and commute (enrolled numbers are higher in the US news rankings for NJMS
Applied Interviewed Accepted Enrolled
Total: 2,940 679 440 170
In-state: 930 N/A N/A N/A
Out-of-state: 2,010 N/A N/A N/A
Those are the figures from NJMS
The following are the numbers from RWJ
Applied Interviewed Accepted Enrolled
Total: 2,498 625 335 156
In-state: 945 469 295 137
Out-of-state: 1,553 156 40 19
Women: 1,323 351 183 84
Minorities: 1,104 344 155 86
International: 10 0 0 0
So, only 10% of out of state students that apply are interviewed, and of the 1553, 2% are accepted. The numbers are probably the same for NJMS as well.
So the OP's main question was if they get preference over other out-of-state students. There might be a small chance that you might, but the same could be said about individuals from Philly (just an hour away).
It just comes down to luck. If you're one of the lucky ones that gets the chance to interview, then the chance to have a great interviewer who likes you, then ure golden - even if you're instate, the same rules apply