Of the free-exercise clause, not the establishment clause.
Not finding a violation is hardly the same as agreeing that the establishment clause does not apply to the states.
Being as legally well-read as you are, I'm sure you're aware of the distinction between holding and dictum, no? In any case, let's examine Justice Black's obiter checklist, shall we?
- "Neither a state nor the Federal Government can set up a church." Justice Moore hasn't done this.
- "Neither can pass laws which aid one religion, aid all religions, or prefer one religion over another." No law has been passed, and he hasn't aided any religions, as religion is defined by Madison ("the duty we owe to our Creator, and the manner of discharging it.") If he had, then "In God We Trust" would be guilty of "aid[ing] all religions".
- "Neither can force nor influence a person to go to or to remain away from church against his will or force him to profess a belief or disbelief in any religion." Check.
- "No person can be punished for entertaining or professing religious beliefs or disbeliefs, for church attendance or non-attendance." Check.
- "No tax in any amount, large or small, can be levied to support any religious activities or institutions, whatever they may be called, or whatever from they may adopt to teach or practice religion." One would be hard-pressed to call Moore's monument a "religious institution", so that passes.
- "Neither a state nor the Federal Government can, openly or secretly, participate in the affairs of any religious organizations or groups and vice versa." Check.
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And perhaps Brennan's opinion would have been more clear to you if I had included the next paragraph
Still no mention of the 14th amendment therein.
Sure. You can pick up with Lemon v Kurtzman for the last piece of the puzzle, if you like.
Still no mention of the 14th amendment therein
Read the opinion he was concurring with, then - I suggested Brennan simply as an overview of the issues involved. The context was a public school's requirement for the reading and recitation of Bible verses at the beginning of each school day. Not to spoil the surprise of reading it or anything, but how do you think they presumed that the establishment clause applied to a local Pennsylvania school district? ;)