Unfortunately you, and many others, miss the point entirely by attempting to clarify the 1st Amendment. What you should be questioning is where in the Constitution was the federal government empowered to be involved in the public school system. Once America accepted the government's unconstitutional involvement in the public school system the door was open for the government to exercise what ever control they wished.
And in Denver the Div. of Fire Safety was chastised because
the chief Paul Cooke sent a Christmas e-mail that dared
mention Jesus, and suggest His teaching ought be our guide. Only one of six people that recieved the E-Mail
complained A guy named Johnny Walker(no less) And the Dept.
of Public Safety sided with the troublemaker claiming the
E-Mail violated Dept. Policy -- and that they try to "recognize the holiday without promoting any particular religious belief,and by respecting everybodys'perspective."
Precisely opposite of what was intended ,and not reconciled
to the Court decisions on the Establishment Clause and
holiday displays.Certainly not reconciled to the US Constitution(which sets apart the Christian Sabbath)nor to
Public Law which allows yearly proclamation of a National
Day of Prayer.
You made two mistakes in your post.
1- The fact is that the public schools are essentially just that public - which means government controlled. So it is not a question of inviting. They are the ones who own it.
2- The second point you miss is that Tremoglie says that they are invading prviate rights against religious expression in public.
Read it again.