You are very confused.
There are two (2) sides to the First Amendment’s clause on religion.
On the one hand, the government may not establish a particular religion as the official religion of the United States.
There must be NO place in American life where religion is not welcome, otherwise the free exercise of religion is violated.
The fact that there is NO place in American life closed to religion DOES NOT mean that the government is then establish a religion.
For example, if many religions are found in government, government is not establishing an official religion.
Where you are wrong is that government acknowledgement of God and of religion is not establishing a religion.
Government support of religion generally, without saying which one is better or “correct” is allowed under free exercise.
The US Supreme Court has wandered all over the map. US Supreme Court judges criticize the US Supreme Court’s modern decisions in dissents.
You are also confused by “allowing” a prayer versus the government or public school LEADING students in a prayer.
The government *MUST* allow citizens to engage in religious activity, including in government fora, government buildings, etc.
The citizens doing something is not the same as the government doing it.
The government may allow only Christian prayer, but MUST allow private citizens to pray any way the citizens want.
That has nothing to do the government LEADNG prayer.
“The government may allow only Christian prayer, but MUST allow private citizens to pray any way the citizens want.”
Please re-read your statements. How does this tie into the First Amendment??? The ultimate litmus test to this statement is to allow Muslim prayer alongside Christian prayer. Is this allowed in America? Where does it say in the Constitution that we must follow the rules for Christians only?
Your statement is completely DANGEROUS to the freedom of religion overall. Sorry, but the government must allow ALL prayer and allow private citizens ALL prayer, or prevent ALL prayer in government and allow private citizens ALL prayer.
People, please get a grip here. It’s either all or nothing. The law is clear. If you want prayer in government, it must allow equal and non-preferential treatment of all religions. If you want preferential treatment for for a particular religion, by all means move to Rome, London, or Rijahd. They have a wonderful bias. I guess you believe that bias was so “welcome” to the framing fathers they embraced this system from the start. If you believe this, I have some swampland in North Korea for sale.