If NJ is your military State of Legal Residence (SLR), then for tax purposes you remain a resident of NJ regardless of where you are stationed, and your military pay is taxable by NJ.
https://www.state.nj.us/treasury/taxation/military/requirements.shtml
You can only change your SLR by filing DD Form 2058 with DFAS.
https://home.army.mil/stuttgart/application/files/1415/4712/5692/HRSLR.pdf
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
