The effect is the one you noticed in the 70s. From a normal citizen's perspective, the fear factor isn't there. You are generally OK so long as you cooporate, even if you tell the police to fuck off while still doing what they say. Some of this is culture: For instance, someone with a bow and quiver on their back walking through the summer palace that is here in town doesn't get harassed. There are fewer guns on the people.
I'm not sure about your outlook, however. I think they need the humanity to be able to treat people well. After all, normal people are the very people that become cops: That "edge" is a learned thing - just like it is in the military. Minimally, I'd go with a few years of training being mandatory before stepping out and becoming a rookie. Things like conflict resolution, dealing with the mentally ill, and interpersonal relations.
Edit: Oh, and stress. I'd include classes on dealing with stress in the training.