In this regard, I think it is a special case, and I will address your point further on a later date.
Yet actual, living Jews were barred from holding public office, and have been hated and discriminated against by many “Christians” throughout history - regardless of this ‘special case’ status that you perceive.
The various state religious ‘tests’ for holding public office were incompatible with the spirit of the Constitution, clearly exhibiting a preference for one or some religions over others. But some of them remained long after we had become a much more religiously heterogeneous society. They were only finally ended by the Supreme Court in 1961 - in a case that actually involved someone of no faith at all, in my own state of Maryland: an atheist who had been barred from becoming a notary.
Religion is an intensely personal issue between a human being and God. You can’t ‘make’ anyone religious or even know if anyone truly is or not; you can’t keep those who do profess faith from actually being outright fakes and hypocrites. (And I’d much rather have an honest atheist or agnostic in a public office than a hypocritical Christian.)
There should be no religious tests for public office, and should never have been, under this Constitution.