The "secular world" doesn't comprehend everything that is done outside a church or temple. Your statement implies that moral values based in revealed truth should be closeted, and the amorality of Babylon prevail in the public places.
You have articulated the homosexuals' position on public morality.
Being a sovereign People, we need not apologize to anyone who isn't the God of Israel for what we decide to make our public morality. The fact that our mores are deeply Jewish and kohein in their origins -- particularly as regards personal modesty and where we set the boundaries between public and private, and private and deeply personal -- and that those mores were subscribed to by Christian Europe is something of which we can justly be proud, not apologetic, and something that we can openly recognize as inuring to our benefit as a society.
We don't need to take anything off anybody, or suffer the sodomites to strike words out of our mouths, or inscriptions and symbols off our buildings and out of our mind's eye. We will not be censored by the trashy little commissar-wannabes of political correctness.
"Political correctness", by the way, is a term of art invented by the Nazis. Its purposes and uses ought to be obvious, and repellent, to every freedom-loving American.