I don't know where you're planning on applying, but I can assure you that a "rap sheet" on LEIN 4 miles long (figuratively speaking) will make it incredibly difficult to become a cop. That will red flag the agencies involved in your background check, and further red flag the psychologist who will be evaluating you, that is if you get that far.
Unless you know someone who will be pushing you along into a cop job, I would strongly suggest not OCing, especially in circumstances where there is a chance you will be getting stopped.
All that said, make up your own mind, I just hope it all works out for you. If you'd like I definitely can meet up with you. All I need to do is mosey on over to 696 and head over your way, not too big of a deal. Easiest to do in the evening for me, don't know about you. Starbucks in Novi or something, for example, would probably be easy for both of us.