Earlier quoted context omitted.
History tells us quite clearly that extra-legal justice systems as a response to even some of the worst justice systems creates more problems, not fewer. So no we shouldn't, to use your phrasing, react as we see fit. That's how humanity has historically justified lynching.
Except this isn't a justice system, and doesn't have consequences remotely similar to a justice system. I've taken a -30 karma hit for this particular opinion already, despite very polite language. May as well go for -35.
Some folks who have been dropped from Twitch thanks to mob justice - where there's no actual crime - can't find a job in the entertainment industry anymore. Imagine being completely blacklisted from your industry because you were reported to have made someone uncomfortable (whether it actually happened or not).
Google never forgets, and people never forgive.
EDIT: To me, politeness doesn't make up for encouraging vigilante justice. My state has a long history of vigilante justice, and it's not pretty.