If you find it interesting, study it. simply having a four-year degree is a plus. it shows a number of things (ability to stick with something long term, strong reader, wrtier, etc). If being a NYSP is your goal, don't let anyone talk you out of it. Yes, many things can arise that aren't expected and there's a chance you can't get in.
Always have a back-up plan and NEVER limit yourself. Some people say, "Don't study CJ, it's useless." I call BS on that. LOOK into different CJ programs. For my program, I've taken classes in English, History, Sociology, Psychology, Pre-Law, and Public Administration. It's a well-rounded degree, at least where I go to school. They don't teach me how to be a cop, but rather how to read, write, and think critically and to also get a wide-base of knowledge in the CJ system and the many different social and political monsters that surround it.
Cliffs: Get a degree, study what you find interesting, do your research, have a back-up plan, and listen to what your heart tells you.
Good luck!
Wiggum: Put out an APB on a Uosdwis R. Dewoh. Uh, better start with Greektown.
Friday: That's "Homer J. Simpson", Chief. You're reading it upside down.
Wiggum: Uh, cancel that APB. But, uh, bring back some of them, uh, gyros.
Friday: Uh, Chief? You're talking into your wallet.