The implication being that, if our hero had gone for the gut rather than the face, you'd drop the objection?
I, for one, am prepared to endorse that historic compromise.
Actually, yes, i would be far more sympathetic if he had went for a punch without potential lethal result, so (i suppose?) to the stomach?

A punch to the head CAN kill. It also can cause severe trauma. A punch to the stomach likely won't have lasting effects, unless you are The Hulk.
The far better thing to do would be to just tarnish him with words, and then upload the video. But a punch to the face was among the worst outcome, and i suppose the person giving it is liable to be charged and be brought to court (let alone any neo-nazi reprisal...).