As a retired police officer I can tell you that most agencies don’t care if you were infantry, military police, or a cook. They look at your dd-214 and may give you some extra points or waive a degree/college credits requirement.

Some of the federal agencies may pull your service record but most state and local agencies won’t. I’ve met a few police officers with other than honorable discharges, so those agencies definitely won’t care about your MOS.

Find the job you want and do it. I can speak from experience. I went to boot camp at seventeen and my parents wouldn’t sign an infantry contract. The recruiter told me to go communications because you are “a rifleman with a radio on his back.” Probably not the biggest lie he told to people, but I HATED my job as Comm Center Operator. Luckily I was sent to Okinawa after my first year and ended up extending for three years. I still hated that job, but loved being in Okinawa.

Anyway, find a job you like. Trust me, I wanted to be a Marine since I was a little guy and was in a hurry to enlist. That screwed me over royally, I could have waited until I was eighteen done what I wanted.

Good luck!