Yes, most if not all of the Christian right groups do it constantly over abortion, same sex marriage, birth control, sexual practices, even teaching yoga in the public schools.
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The Constitution guarantees individual freedom of thought. That is what freedom of religion means. I am free to have my religious non-beliefs and you are free to have your religious beliefs. And we are free to think about anything we would like to think about free from Government interference.
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The Constitution also guarantees that your Government is free from religion. The government must be neutral on religion. It can’t endorse one religion over another or any religion over no religion. This is the Establishment Clause.