I agree that my analogy was flawed, but it doesn't matter, since you responded with a bunch of arguments that you hopefully think are convincing. I will now proceed to invert them right back at you. Maybe you don't think they actually apply in that way (some
definitely don't). That would be totally fine, I just want to know what you think about that.
I'm not sure what your assumptions are. That James Damore, who is politically conservative but who asserts themselves to be pro-diversity, is not objectively pro-diversity, but is just a sadly confused/deluded conservative? That I'm not obligated to believe that James Damore is pro-diversity, nor acknowledge that identity to him other than out of polite consideration?
OK, we don't need to get into a debate about political discrimination issues and laws. Your analogy feels deeply flawed in several other ways, though. If someone's best friends are all conservatives, that has...what exactly to do with whether that person is a liberal or a conservative? If you see someone voting for universal healthcare who claims to be a conservative, you'd still think that them voting for universal healthcare is evidence that they might possibly be a liberal? Seriously?
In any case, someone's political affiliation is not something likely that directly impacts me. If someone claims to be a liberal, I have the option of being "polite" and to "go along with it", whatever the hell that means. Or I don't even have to bring the issue up at all.
But if I'm a woman whose fitness club member keeps suggesting having a football game and uses the showers with obviously male anatomy, the situation isn't one where politeness is part of my decision making process. My fitness club member's behavior and beliefs, unlike Damore's political affiliation, affects my comfort and virtue as a loving wife. I don't have to believe she is truly a woman on the basis of her stated gender, or her pointing out her choice of dress even as she engages in all kinds of inappropriate behavior.
Likewise, the National Organization for Women's management does not have to believe that Pat is sincerely a woman, if they believe what she actually does reflects someone hostile to NOW's female empowerment efforts and goals. It is not "inconsiderate" for NOW's execs to read between the lines of Pat's various activities. Pat is a NOW employee who believes she is doing the right thing by taking a moral stand against NOW's management, she didn't ask to be politely coddled.