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Just imagine: "My sincere religious belief is that Protestants get ill only because they have not followed correct doctrine. As a Catholic, I refuse to give them any medications." Or switch the denominations around.
Would anyone be justified in such a refusal of medicine?
Sincerety of belief does not releave one of public duty and responsibility.
A pro-life or pro-choice electric company does not have the right to provide or withhold electricity based on their fetishes about who deserves service and who doesn't.
"Freedom of religion" in this case is a false front for anti-social behaviour.