What?! That has no support in law, history, or the documents surrounding the creation of the bill of rights. The idea that private fora would be required to accommodate all comers is antithetical to the ideas behind the Enlightenment philosophy which engendered the first amendment.
I honestly can't believe someone could be dumb enough to think that the founders would want the government to dictate who people were required to admit to non-public settings. There's no way you're being sincere.