You can absolutely hold a viewpoint that work is about work, and that politics, religion, and sex aren't proper workplace conversations, or important things to align on to work together, without being opposed to the viewpoints outside of work of the people who try to force those conversations. At least for my part, I find it very annoying when someone at work tries to force me to discuss something with them that doesn't involve work, is contentious, and might cause me personal or professional consequences. I'd rather just keep my trap shut and not be exposed to the conversation at all. Just like hearing about the sexual escapades of a coworker over the weekend could create a hostile work environment for some people, it creates a hostile work environment for some people to be forced into an uncomfortable and unnecessary political conversation, yet somehow there's a lot of folks who otherwise think not creating a hostile work environment is important that think it's acceptable to do so when it relates to politics. Politics is not an acceptable justification for creating a hostile work environment.
I say all of the above as someone that probably politically aligns with "blue-hairs" more than the OP, but still doesn't want to talk about it at work. If you're a coworker and want to discuss these topics with me, we can do it after work as a social conversation, not in the workplace.
The MIC?