Are you inferring from the decision to "fire" him that this is what they are intending to convey, that Moore is not allowed to acknowledge God? Are you saying that not allowing him to put the Ten Commandments on display in a government building is the same as being compelled to deny God, or at least, not to acknowledge God? Or did they say those exact words?
Now, you must understand that Moore pointed out that on his way into the District Court he noticed a statue of a Greek Goddess in their courtyard....he said, I think, that it was Athena.
That makes it clear that all Moore was doing was exercising his free speech as chief officer of the building over which he had been appointed authority.