Well, that IS your opinion and you're certainly entitled to it under the Constitution (even though you're not right), just as students and teachers alike are allowed the free exercise of their religion under the Constitution.
There is no exemption in the First Amendment that prevents any public employee from availing themselves of their right to the free exercise of their religion.
If that's what the framers meant, they would have put a stop to it back in the 1700's when everyone practiced their religion freely anywhere they wanted in public.
So by your reasoning, the military should not have chaplains, the House and Senate should not open with prayer, there should not be a chaplain for the House of Representatives, because that would be establishing a religion.
We should take down any copy of the Ten Commandments in every town and city across the country because having public funding paying for the erection and maintenance of those is establishing a religion.
While we're at it, we ought to get rid of all those statues commemorating war heroes etc, if they have any religious reference engraved on them.
Just how far do you propose on going with this "reasoning" that allowing is endorsing?
No problem. Chaplains respect and aid all members of the service and generally do not "preach religion.
the House and Senate should not open with prayer, there should not be a chaplain for the House of Representatives,
There was a time in US early history that they had no chaplain because our founders felt that it violated church/state separation.