No Under the law, you regardless of your personal opinions you need to do the job, and if you can not,resign so someone else can.
When I was at LMDC, I felt that some of the inmates I was releasing were guilty as sin, but per court order, I had to release them of the high profile crime they allegedly committed.
Or better yet per court order put someone on home incarnation program(HIP) who was up on high capital charges.(And the court and judge wonder why the inmate cut the ankle bracelet or escapes with it on.)
US State laws on the books are very different from Sharia laws of Saudi Arabia.
State laws have to be enacted by a state legislative members not religious men of the cloth.
A woman who felt she was discriminated against a state employee, will file a complaint with the DMV and the file a civil lawsuit like the gay couples have done to several KY. county clerks.
My last profession at LMDC