Do you understand what a "republic" is? The establishment of a state church does not per se make a system non-republican.
That remark tells me that you do not understand our American Republic.
Following the ratification of the Constitution (and the First amendment) most states had established churches. Yet no one claimed that they were unconstitutional.
Sigh. You've made, and I've refuted that point before. Read the ratification debates on the matter. The 1st was a political compromise, and it worked. 'State religions' died out.
The reason that the Mormon Church was forced to be disestablished was not on grounds that it violated the Constitution but because its moral tenants were repugnant to the population of the rest of the country. BTW, can you cite one case where the Court struck down public religion on the "Republican form of government" argument?
My 'cite' that Utah was not admitted to the union until it separated church & state proves that point.
Please note that I am not advocating the establishment of churches at the state level, just trying to educate you on a basic political definition and historical fact.
You lack the basic Constitutional knowledge to educate me, or anyone else, on this subject. Sue your law school for nonperformance.
Wrong. You misrepresent history. The issue was polygamy, not separation. No legal ruling or even any legal scholars agree with your spurious argument.