This is an example of a police officer that it is ok to fight.
He's just a dude. He's got a uniform. He's got a gun, he will try and shoot you with it. Beat this dude's ass. Take his gun and shoot him with it if you are feeling like being a dick. I never shoot anyone if I can help it, it slows down my running from police officer type 2.
Now you know everything you need to know about Mirror's Edge combat!