There is nothing inherently wrong with a man taking multiple wives. There's no denying that men are designed to take up more than one lifelong companion. In Islam one is allowed to take up to four wives provided he can take care of all them and communicates with, loves, and provides for them equally. The point is most men aren't up for the job. In case of polyandry it is the nature of the woman that is against her. A woman who commits polyandry is usually looked down upon in society. Most women do not want to have multiple husbands. You hypothesize wrong social acceptance of polygamy does not lead to mysogyny and reduced legal equality, violation of women's rights does. So what's the problem? There is something inherently wrong with homosexuality men and women are not designed to be same sex sexual partners and they are also not reciprocal partners in a same sex relationship.