A similar, yet different, scenario:
Can the NAACP refuse to hire a Caucasian applicant?
Can the AARP refuse to hire an applicant under fifty?
Can British Petroleum refuse to hire an environmentalist?
... I will relate this to a friend of mine in college. He was an Eagle Scout but refused to put it on his resume'. The reason he gave was that there are many people in the theatre community who are gay and the boy scouts have the stigma they are anti-gay. He was proud that he had achieved eagle scout but would not put it on his resume' because he was concerned of the chance of being thrown out because of that association.
Can the NAACP refuse to hire a Caucasian applicant?
Can the AARP refuse to hire an applicant under fifty?
Can British Petroleum refuse to hire an environmentalist?