What should they be doing instead? (1) STFU. (2) Do their jobs.
It's called being professional.
That means when they can pick new people for their team(s), they try to pick from those who are not on their shit list.
But if their supervisor tells them to work with X, who happens to be on a no-no list, they won't start a hissy fit. (They might try to influence their higher up to reconsider.)
And in big corps like google it's not too surprising that people with very different worldviews try to stay away from each other.
That's not what their comments (in the leaked screenshots) would seem to indicate. On the contrary, they seem ready to go to great lengths, lengths harmful to their employer, to carry out their stated personal policies.
At virtually any ordinary company, they'd be fired for this.