EDIT: It should probably be pointed out that the definition of bigotry is "intolerance toward those who hold different opinions from oneself.", pulled straight from Google. "If my coworker doesn’t believe ... then I don’t respect them as a coworker or a human being" (pulled from the great-grandparent post, from the same author as the parent) fits that perfectly, no matter what the opinion in the middle is.
Politics does come into work with things like family leave policy, hiring, promotions, corporate giving, corporate mission, etc.
It’s inescapable. Even denying it doesn’t make it go away.
Feel free to take your own advice and shut up yourself, but it’s up to other people to decide for themselves what they will speak up about, knowing the price they may pay for, in some cases, confronting whatever they are up against.
We’re talking about fundamentally bigoted and hateful beliefs. I refuse to believe that someone who holds those beliefs is able to separate those beliefs from how they treat others in the workplace.