NO, guy, the problem is they are using a selective reading of their holy book in order to rationalize their bigotry.
That didn't fly 50 years ago when Southern Bigots tried to exclude blacks from their hotels and it doesn't fly now.
Not your call to make, and not government's call to make unless there is harm, and thus a compelling government interest.
You have the test backwards. The Supreme Court specifically held that the compelling governmental interest test does not apply to laws, like the Oregon law against discrimination based on sexual orientation. The Court wrote:
"The "compelling government interest" requirement seems benign, because it is familiar from other fields. But using it as the standard that must be met before the government may accord different treatment on the basis of race, see, e.g., Palmore v. Sidoti, or before the government may regulate the content of speech, see, e.g., Sable Communications of California v. FCC, is not remotely comparable to using it for the purpose asserted here. What it produces in those other fields -- equality of treatment, and an unrestricted flow of contending speech -- are constitutional norms; what it would produce here -- a private right to ignore generally applicable laws -- is a constitutional anomaly.
… The rule respondents favor would open the prospect of constitutionally required religious exemptions from civic obligations of almost every conceivable kind -- ranging from compulsory military service to the payment of taxes to health and safety regulation such as manslaughter and child neglect laws, compulsory vaccination laws, drug laws, and traffic laws; to social welfare legislation such as minimum wage laws, child labor laws, animal cruelty laws, environmental protection laws, and laws providing for equality of opportunity for the races."
Employment Division v. Smith, 494 U.S. at 888-89 (citations omitted).
"The Supreme Court has been closely divided on this issue. In its 1990 decision
Employment Division v. Smith, the Court greatly narrowed a 35-year-old constitutional doctrine that had required a government entity to prove that it had a “compelling interest” whenever a generally applicable law was found to infringe on a claimant’s religious beliefs or practices. Under current constitutional law as explained in
Smith, a government burden on a religious belief or practice requires little justification as long as the law in question is determined to be generally applicable and does not target a specific religion or religious practice."
Free-exercise clause overview First Amendment Center news commentary analysis on free speech press religion assembly petition
So, the burden is on those challenging a law of general application to prove how it creates a burden on a specific religious belief or practice.