My $.02 worth.........Get a degree! Unless you are truly interested in the the military, then by all means do what you want. To be honest, it doesn't even have to be a degree in LEJA or Criminal Justice, just a degree period. Basically, the degree is a box to check when you are getting hired.
I was a corrections officer for 2 years and have been a police officer for the last 3. To my knowledge, not once during any interviews, tests, applications, did having a degree specifically in Law Enforcement and Justice Administration really give me a one up, it was just the little piece of paper....aka diploma.
If you didn't major in Law Enforcement, obviously it wouldn't hurt to minor in it for familiarity or at least take some classes.
Good Luck in your career. Policing is a unique job in that you have to want to do it for the right reasons or you won't feel content. It is an honorable job, but don't do it if you want praise and glory as those don't come often. Usually cops who can't accept that are ones that have what everyone calls the "power trip." On the other hand, it has it's moments when you, and you only, feel like you've actually done something to help someone or make a difference, this is what keeps the good ones going.
Okay I'll stop my rambling as I've gone way past just answering your question..
