I tweeted this yesterday:

The answer is No.  When you have a job that is based on serving the public, you serve the public regardless of your personal beliefs.  So you either do the job or you find something else to do.

This should not be a question that causes headlines.  People face these choices every day without getting face time on cable TV.  People make accommodations in their sincerely-held religious beliefs without incurring the wrath of their particular object of adoration, and people who have no particular religious following are required to adapt to the greater good and do things that they may find personally repellent.  They are mature enough in their understanding of how things work in a society made up of many different beliefs or peccadilloes that they don’t get to impose their own on anyone else to the point that it disrupts the lives of the people they were elected to serve.