All the societies which are polygamous are also retrograde and virulently patriarchal. Under polygamy, the market--- to which you refer so confidently ---- is indeed a market that renders women semi-chattel if not outright slaves. Market forces distribute young women---like property--- to the older men that have the most money. This is not satisfactory to women, but in polygamous societies women have negligible social power.
This has a predictable, disastrous effect on both the equality of the sexes and the intimacy of the sexes. One-to-one correspondence works for both equality and intimacy. One-to-three-or-four doesn't.
I know that there are some people to whom everything (marriage, sex, childbearing, whatever) comes down to a question of market, property, ownership. This is a serious error. It brings us back to a mindset on human dignity typical of the Bronze Age; typical also of Shari'a law.
The American people must have the power, and the opportunity, to say No to polygamy. We want our ethic of human dignity, not market forces; we want such social changes as we choose to come by legislatures, not by judges; we want Western Civilization and Constitution, not some retrograde Mormon-Muslim model and Shari'a.
But I do believe the birthrate is much higher in so-called retrograde societies than in our "advanced" society, which has a birthrate below replacement level.
And so the "retrograde" society seems more vital.
And as for a patriarchal society--being a man, I like the idea of men being the leaders, as was the case earlier in America.
If a society led by men seems odd, that is only because modern men have not been brought up to lead, but have instead been brainwashed to share leadership with women.
Good.