@dalehileman,
rather than posting "definitions " of the word establishment, try to understand how its used in the US Constitution.
Where you get all bollixed up is to consider that there is some "right" to teach creationism to kids in science class. As everyone has been patiently trying to explain, "CREATIONISM" is a religious doctrine that derives from several Fundamental Christian doctrines. Its a literal (Almost always) Biblical interpretation of the origin and development of life on earth. SCience is (or is supposed to be) a series of repeatable, testable facts based on evidence which explain the same thing.
TEACHING (yes not advocating) Creationism in a non-science class as a review of forces of history, is good an helps the kids sort out cultural history. HOWEVER, when its taught in science as a valid testable alternative to science , THAT IS ADVOCACY, whether you see it or not. Because if it weren't advocacy, then youd have to also teach the origins of life on the planet from the views of the Navajo, the Mochi, and several other myths of life .
The US SUPREME COURT has resolved this issue to the satisfaction of most. However, the Fundamental sects are still working this over to come up with a new wrinkle with which to challenge the "establishment Clause" nd hopefully, to overturn the 75 years of separation of church and state in the public schools.
The latest case brought by the Fundamentalists, in KANSAS is interesting because the ID lobby has turned it around by inferring(In its complaint) that biological science is actually a religion and that KANSAS is guilty of ESTABLISHING A RELIGION BASED ON EVOLUTION (Sorta the same **** that Quahog is ranting ). This will be interesting if it goes higher. (On December 6 2014 this complaint was stymied by the Kansas Court of Appeals , the complaint against the Kansas board of Ed has been tossed out and wont be heard).
Its interesting (to me anyway) , because if it goes higher (To Fed District Court then even to the US Supreme Court), the very laws and evidence that supports SCIENCE v CREATIONISM will, in my mind, become one of the front issues of the case.
Im no lawyer so this is just my guess. Several previous cases have identified several of the "tests" that indicate what is science and what is not. Also som of these "tests" help the Courts determine what is advocacy as a POV in education and what is not.
I actually hope it goes farther because I cannot see the US SUpreme Court (even with its Conservative makeup) , resetting the nations wristwatches back to 1858. Id be following this case like I follow my Phillies (religiously)