The state's interest in marriage is stability. Generally speaking polygamy does not work for stability. Inherent in the whole polygamous movement is a deep and abiding misogyny and denigration of women. So polygamy is objectionable on lots of grounds.
I think there are some people in life who are not marriage material and Chris is one of them.
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The church's teaching on marriage is unequivocal it is uniquely the union of a man and a woman and it is wrong that governments politicians or parliaments should seek to alter or destroy that reality.