“Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof ....” and Article VI specifies that “no religious Test shall ever be required as a Qualification to any Office or public Trust under the United States.”
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It says CONGRESS. It doesn’t say anything about individuals not having a religious test. There cannot be laws stating that a certain faith cannot run. HUGE difference there, buddy.
Some would phrase that as, "It doesn’t say anything about BIGOTS not having a religious test."
Of course, I'd never phrase it that way.