[P_A_I]

"Is separation of church and state prescribed by the United States Constitution or not?"
Yes. 'Separation' is in effect directed [prescribed] in three different places. --
States are directed to have republican forms of governments, [no theocracies allowed].
- No religious tests for office are to be allowed.
Nor are laws to be made that respect any of the establishments [teachings/precepts] of religion.

My [bracketed] comments help to explain my argument..



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Andy:

Establishment does not mean "teachings/precepts".

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Making laws respecting "an establishment of religion" means exactly that. Teachings, dogma, beliefs, precepts, - all of these are part of 'an establishment'. Any organization has established precepts.

[AndrewC]

Making laws respecting "an establishment of religion" means exactly that.

Correct. That is why they have prayer in Congress and you are wrong in your additions.