"Conservative" isn't the right word for them, although my Dad might disagree. "Old-fashioned" might be better. They were children of the forties, after all. But they're aware they now live in the 21st century. As long as the show isn't set up to prove the conservative and Catholic characters (my Dad is Catholic) always wrong, corrupt, or unfeeling, they should be fine with it.

It sounds like something they might like! I'll recommend it.