Ive worked with Catholics and my views on sola scriptura and the authority of the Pope never came up once. Ive worked with Muslims, and it was never an issue. Ive worked with Hindus. Ive worked with Chinese, Pakistanis, Indians, Bangladeshis, Nigerians, Brazilians, Kenyans, Russians, Ukrainians, Poles, Ghanans, Mexicans, and many other nationalities. I have been on many teams and in my companies with a combinatorial explosion of fundamentally incompatible beliefs.
So yes I do expect staff to work under a ceo that is opposed to gay marriage, an idea that I would bet globally has a less than 50% popular support.
Have you donated to anti-Muslim, anti-Christian etc. platforms in a public fashion while working with them? Because you would've found quite quickly how that changes the interactions.
I don't mind working with someone who has incompatible views with me, but I'd be quite unhappy working with someone who was actively working on undermining my rights.