You're 100% right. Asking someone to do the job they applied for IS trampling their rights. We, the citizens, should just spend more and more public funds to protect your right to discriminate, even though discrimination is illegal. We should hire enough people to make sure that every possible situation is covered, so no public employee will ever feel like they are doing something distasteful. Public workers MUST be able to discriminate based on sex, creed, and color if they find, for example, that giving a marriage license to a mixed couple violates their 'sincerely' held racist belief.
You are the type who whines and cries about Sharia law, but wants to allow followers of his own religion to determine the course the government should take. There is NO 'reasonable accommodation' for illegal discrimination.