The Constitution is a document that provides a framework for government and briillantly, amazingly puts restrictions on that government. Those restrictions do not include publicly funded works of art.
Judge Moore was referring to liberty in the inalienable sense. This of course only comes from God who is the God of everybody, even those who don't know Him or reject Him.
He says, flat-out, that "religion" under the 1st Amendment means Judeo-Christian faiths. He doesn't like to say it our loud that much, but sometimes he gets caught. You can twist his words to mean something else all you want, but I'm not talking about isolated quotes. He has made similar statements in his testimony, in his briefs, in his law review article, and in interviews with journalists who would be perceived as friendly. If you want to be his apologist, go ahead, but he has demonstrated himself to be a bigoted demagogue, though one of exquisite talent.