Its part of the job, accept it or go fly SLF!
Yes and no. As I pointed out earlier, even flying SLF can lead to moral and religious objections.
Who knows, when you fly SLF you could be carrying one of those people who work with animals in labs on board your aircraft. What are you going to to then indupilot? Kick this person off your flight?
According to you "this has nothing to do with my question," but the fact is that you can't start making emotional and personal judgements about
legal cargo and passengers.
Legally IMHO you won't have a foot to stand on if you refuse to fly, so you better either do the honorable thing and resign if you can't stand it, or put up with it and try to change things on the legal front.