If they just answer respectfully when someone asks them specifically ("in my faith that's not allowed") but don't interject it themselves unasked for, over and

If they just answer respectfully when someone asks them specifically ("in my faith that's not allowed") but don't interject it themselves unasked for, over and over again when an individual mentions they are gay then that falls into "live and let live, you do you & I keep my opinions about your personal life to myself". Again this is in no way unique to muslims, and is just as likely to be the case with similarly devout christians so I don't see why you need to focus on islam specifically. I've personally also worked with orthodox jews who I am sure hold a lot of opinions I disagree with and somehow they managed to never voice homophobic or misogynistic comments & I managed to never tell them what I think about interpretations of the bible as the literal word of god. This is a situation which among reasonable people doesn't require outright ban of "political speech". You can cultivate a good company culture that deescalates flame wars without such a blunt instrument that may also have a lot of undesirable side effects.