Last bit about this for now: These traditions are late. Post-Civil War. To the extent that the Court interprets the Establishment Clause with reference to the Founding, way outside the zone of relevance.
If history and traditions matter, it's extremely important to be careful about *which* history and *which* traditions. This brief from the Native American Rights Fund makes plain the dangers of making anti-Tribal history and traditions into constitutional law: www.supremecourt.gov/DocketPDF/24...
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The opinions will still cherry pick history, though.