> ...and outside the workplace...

You appear to be moving the goalpost here. Or perhaps I was my fault for not being clear. My policy was referring specifically to discussing politics within the workplace.

As for your question, everyone is of course allowed to ask for more pay. This is not what I'd call politics, but simply salary negotiation. If you're suggesting something different. Then yes, you generally aren't going to help yourself within an organization by calling your boss a sexist who needs to promise to stop being a sexist. Or whatever it is you're specifically proposing.