Unless this is a feature provided by the site, I don't see why this should be present. Will the site provide a strike feature for whoever wants to? Will it provide moderators to limit their access to mod tools and privileged information for the duration they want to strike? How about general users? And everyone seems to have their own definition of what the strike means anyway. What does any strike entail actually? Just shouting out "I'm on strike" on the site at every chance you get, to anyone who does or doesn't want to know? Or is it only about curation, such as not up/down voting, not doing user level review/moderation, not doing mod level moderation, not visiting/interacting with the site at all, etc? In this case all of these operations are voluntary, and has been so regardless of any kind of strike. What about the opposite? What if someone is against the strike, or against some people's notion that whole "community" is on strike just because they are? What if someone is neutral? Do they get their own tags?
Having a separate tag for this does not seem necessary.