I had a BA and all the requirements of a Masters' Degree when I was a Baltimore cop. And now I teach some NYPD and many students who want to be police officers. So I am a bit partial to the idea that college is good for everybody, cops included (or else what am I doing in my school office at 10:30pm?).
But I worked with many great people and police officers who had nothing but a Baltimore public education high-school degree. I know you don't need college to police. But I like to think that college makes you a better person and being a better person makes you a better police officer.
Anyway, a recent study shows that college makes cops less quick to use force.
Rings true to me but I'm not sure why. Perhaps, if nothing else, college means you're older when you join the P.D. And that makes you wiser. But I also like to think that college and college class helps teach people how to talk respectfully to people you don't agree with. That's a good tool for a cop.