Take the word of Antonin Scalia, whom I assume no one on this board thinks is a "socialist" or anti-Christian.
Writing for a 6-3 majority in the case of Employment Division vs. Smith he wrote: "the Court has never held that an individual's religious beliefs excuse him from compliance with an otherwise valid law prohibiting conduct that government is free to regulate. Allowing exceptions to every state law or regulation affecting religion "would open the prospect of constitutionally required exemptions from civic obligations of almost every conceivable kind." Scalia cited as examples compulsory military service, payment of taxes, vaccination requirements, and child-neglect laws.
I'm not. That being said can you show me a single case where a Catholic Priest has been ordered to comply and done so.