New Jersey is a little complex.
Initially, the burden of proof is upon you to show why it's in the child's best interest. IF you can do that - and NJ is NOT a moveaway-friendly state - the burden shifts to Dad to show why the move is not in good faith etc.,
Be aware that if the relocation is approved, there's a better-than-strong chance that YOU will be paying for all transportation to and from Dad's.
Can you afford to do that several times a year? Are you willing to forfeit most of the summer, and alternating holidays?