Well the problem that I see with the scenario, in regards to the cop, is that it appeared to me that for that moment he stopped thinking rationally. That is a dangerous failing for a police officer, and it has implications.
It's like for example what happened with that BART cop who shot that black guy after he had arrested him, that I mentioned earlier. He didn't just blow his brains out because he was a bastard (allegedly). His testimony is that he was reaching for his tazer (which is stupid in itself, because the guy was already handcuffed and laying on his stomach on the ground), and instead accidentally grabbed his gun instead and pulled the trigger.
So, it's like, "well he's human and humans make mistakes", but at the same time, the reason why being a police officer is supposed to be a high-profile, only the best of the best, job, is because they're supposed to be able to act... basically, beyond how the average person thinks.
The point I'm making is that if the dude's instinct is to KSTFO because they pushed him, not because they actually brandished some kind of weapon or anything, but just shoved him, I question how he would act in an even more potentially dangerous situation.