Can't imagine how that could work.
Historically polygamy existed for status and fertility.
Status = time when wives and children were considered property.
Fertility = that one guy in the bible whose wife couldn't have kids so he had kids with someone else, then his wife got pregnant and the kid had higher status because wife > concubine. Family drama etc.
HOW TO HAVE POLYGAMY IN SEVEN EASY STEPS
1. Don't get legally married.
2. Legal marriage is only for legal benefits such as social security so if you don't want the government telling you how to love you shouldn't rely on their benefits.
3. Use power of attorney, joint ownership, and other forms of legal contracts to mimic most benefits of marriage
4. Hospitals don't actually check if both of you say you are immediate family so lie
5. Take care of your kids even if you're not married
6. Historically marriage is forever so if you want to polygamy it up with someone that means it is a life long contract. If you want to kill them to get out of it don't get caught.
7. Live how you want, love who you want, I give zero fucks but sure why not make it legal. All the guys complaining how they don't even want one wife will be much happier having three. Especially when their cycles sync.