Those would all be issues for the families, and family courts to work out.
Karrie, you made the same point that Zzarchov made. So what you are saying is that a polygamous marriage has to be monitored by the courts, it cannot survive on its own. These issues do not arise in a monogamous marriage. Husband and wife decide how their kid should be brought up, and there is no reason for courts to get involved (except where there is child abuse).
So a polygamous marriage needs continual monitoring by the courts, which is another reason not to legalize it, besides the problem of loss of rights.
It is by choice that we give them a say, and it would be by choice that someone would enter into a polygamous marriage and give another person a say.
Sure, you may give a say to somebody by choice. However, in a polygamous marriage, there is no choice. The spouse, who is not father or mother, will have a say in child rearing whether the biological parents want it or not. That leads to loss of rights on part of parents.
In many instances it will have to be settled by courts, who has how much say in child rearing. A polygamous marriage will often need court intervention, which monogamous marriage does not, except for divorce or child abuse.
My husband and I have no illusion of 'freedom of association'.
You don’t have any. By law, you cannot marry again. However, in a polygamous marriage, the law permits you to marry again. However, another person (another spouse in the marriage) will have a veto over who you can marry.
If a man has to produce the written consent of his wives if he wants to marry another woman (and show it to the Priest or Registry Clerk before he can get married), that is an unheard of abridgement of rights. Today a person needs nobody’s consent to marry.