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The problem with "religious liberty" as used above is that it is a falsehood.
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Everyone has the freedom to practice the one True Faith, and this freedom is a God-given right.
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But nobody has the freedom to practice a false religion, especially in public view.
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In a Catholic confessional state, the True Faith is the only one allowed public venue, and all false religions must be conducted in private without any media exposure or closing of public streets and such, as the Moslems are wont to do.
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In fact, you can get a good taste of what utter chaos results from Sharia law being practiced in erstwhile Christian towns such as Freeborn, Michigan and London, England. If you go to Saudi Arabia you can be put in jail or fined for walking down the street during prayer call, because it is state law that everyone must stand still or else bend down and bow toward Mecca when the "crier" shrieks his garbled idioms from a minaret.
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