This works fine with most non-police, but please realize that police have license to kill. Even if your shooting is unjustified, the bias is going to favor the police officer, and there are many things in the justice system that work in their favor, not the least of which being that many of their colleagues, associates, and friends will be responsible for their prosecution.

If a normal person shot you, they'd be arrested that night. For police, if they're ever arrested, it will probably many months later, after someone in the organization has decided that they don't like the officer involved in the shooting anyway--err, I mean, after Internal Affairs completes the investigation.