My coaches and many of the guys I train with are cops. We train BJJ, MT, Boxing, wrestling, Sambo and Combat Yoga.
I'm not a cop, but if I was, I would put all of my eggs into the "I'll shoot 'em before he gets close" basket. Things have a way of suprising you.
I think the best way is to learn as much as you can taking the techniques that work well and leaving the flashy ones for Hollywood.