The religious exemption is playing a scam game. It's illegal for any employer to even ask you anything about your religion, so a religious exemption is itself illegal. Secondly it's illegal for any employer to ask you anything about your medical status (beyond can you physically perform the job), so it's illegal for them to even ask you about your vax (medical) status.
Asking you anything about your religion violates the Equal Opportunity Act, and asking about your medical status violates the Americans with Disabilities Act. Don't play their game. They are breaking multiple laws with this scam and they know it. Just remind them that the law is on OUR side, not theirs.