In polygamous societies, many males having multiple mothers and competing for the attention of the one father for some reason leads to warlike tendencies. This has been shown in multiple socities.
I think polygamy has sometimes followed wars, when males became scarce. In any event, sex has an obvious biological purpose, which can be served in polygamy, but not in homosexuality. Just because two people have an unnatural urge to imitate intercourse with a person lacking the wrong plumbing, it does not mean that society has to allow them to imitate marriage.