Are "No Cursing" laws unconstitutional?

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For example, you may have the first amendment right to put up a sign on your front lawn supporting a candidate for some political office, but that doesn't mean you can put in on public property.

does that statement hold true for The Ten Commandments as well?

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So how about bans on public nudity?

I think that the public property-private property distinction applies here. If someone owns a house, and wants to dance on his rooftop without clothing, his action is still protected, even if he is in the public view.

I agree. Private propoerty is owned by you, and you should be able to do almost anything you want on it.