Not trying to disagree with you, and I actually do, but...
In the real world, we also have lawyers, special interest groups, dirty politics, and so many things that are wrong with "justice" that it'd take too long to list them all (Not that this means that any system of justice is inherently bad, but... The only problem with criminal justice systems is the fact that they're managed by humans. Which is also the greatest strength). If a woman hits a man, she can simply make up a BS claim, such as defending herself from sexual assault.
Unless the man has witnesses, his butt is going to jail. And the rest of him, too.
And, according to TVTropes (...I know...), in Spain, a husband beater, by law, gets half as many years as a wife beater. WTF.
Grah. That's more of a double-standardy post, but still.
Cartoon characters are usually sane. Therefore, I have the advantage.
Because sometimes it's necessary to kill each other like civilized men.
But in all seriousness, I'm not saying violence is the only way, but...
In this world, not everyone's a pacifist by default, as sad as it is.