[Jim Noble]

nor shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws-Amendment XIV

How would a State establishment of religion violate this Amendment?

[tpaine]

"nor shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws" -Amendment XIV

How would a State establishment of religion violate this Amendment?

The favoring of a State religions 'establishments', - by law, -- would place all other religions precepts/dogmas in less favored positions, thus denying any persons not favored members the equal protection of the law.

State religions were & are a very divisive concept, much hated by many of the founders, and wisely allowed to fade away.