In the early decades of the Church, one of the practices that came from questions about some of the ancient prophets having more than one wife was the practice of polygyny (one man having more than one wife). Instruction was received by revelation, and it was practiced by a number of the leaders and others in the Church. This caused some divisions and also had some strong supporters, both of those within and without the practice. The Church officially discontinued the practice (leaving those marriages already entered into intact) in 1890. The Church had to further crack down on those entering into these marriages since then by excommunicating those within polygynous marriages, and continues to do so today. This is not only to remain compliant with US law, since even in countries where polygynous marriage is acceptable and allowed, the Church does not allow its members to marry polygynously to more than one living woman at a time.
The “living” part is the one catch that still bothers some now. Since we believe that marriage is eternal, it is possible to be married to more than one person at a time, which is polygamy (one person having more than one spouse). While there have been scriptures that can be interpreted as saying that polygyny is an absolute must for anyone desiring the highest order of Heaven, as well as statements from Prophets that it must be so, we also have statements from all the modern-day Prophets and scriptures that say that is not so.
For me, one of the big definitions of the Celestial Kingdom (the highest level of Heaven) is that you won’t be stuck with someone you don’t want to spend forever with. That means whatever marriages are entered into here, even those sealed in the Temple, will not be enforced not only if either party has not lived up to their covenants required for this level of Heaven, but if any of the parties involved does not want to be part of it. People will not be “stuck” with their abusers, nor will they be forced to stay in a polygamous marriage (men or women) if they cannot wholeheartedly love every other person in that marriage. When the time for the ultimate decision comes (of which there may be many), we will all have the clarity of mind to know exactly who these other people are and how we feel in ourselves about being with them forever. Also, those who decide to break from their Earthly sealings because of sin (not their own) or other reasons will not be without hope of finding the marriage they can be in for Eternity. There will not be an “odd man (or woman) out” because they couldn’t find someone. Being alone, and the path where that leads, will be that person’s choice, without lack of knowledge or need for excuse.
I don’t find polygamy to be inherently problematic in this age. In the past, it has been used to control women, but it has also been used to give women more freedom. That was a side effect of marriage in general in the past, there the woman was considered the property of the man, either her husband or father. I don’t think that is the optimal way to view a marriage, or has ever been, and we are still working to move to a more egalitarian and balanced approach to men and women in general. I believe that we are capable of polygamous marriage, but only if is directed toward that Celestial ideal.
My wife and I actually talked about polygamy on our first date. (We talked for a number of hours, so it was one of many things we talked about, the list of which would show how odd we are.) Our take is that we could accept it if it were asked of us, but we would each need individual confirmation of it and specific direction on it from the Prophet. That personal direction is important to us, and we’ve had many experiences where we’ve done things as a family that we each got individual direction on. I imagine a number of LDS couples have had to discuss it at some point, because of the possibility of death and remarriage, since we do believe in marriage for Eternity, rather than “til death do you part”. Could I ever find someone I love as much as I love my beautiful wife? I don’t know. I’d rather not find out. I would hope, however, that if my wife ever passed away (perish the thought) that I would only accept as another wife someone who my wife could also love with all her heart.