From Scheidel again - it's interesting that the idea of a revival of polygamy appeared briefly during the reformation.
Greco-Roman SIUM was preserved and gradually reinforced by the Christian church which labored to suppress polygamy among Germans and Slavs at a time when the Arab conquests lent ideological support to polygamy in parts of the Mediterranean and across the Middle East. The Middle Ages, as SIUM spread as a by-product of Christianization, witnessed the church’s struggle against divorce and elite concubinage, practices whose curtailment would render monogamous precepts more effective. Ashkenazi Jewry followed this trend, highlighted by Gershom ben Judah’s ban of polygamy at a synod around 1000 CE. In western Europe, a brief spell of Anabaptist polygamy in Münster in 1535/6 (and, if true, a decree in Nürnberg in 1650 reacting to the lack of men after the Thirty Years War) was to be the final gasp of this practice,..
Edit: more on Anabaptists and polygamy.
Bernard Rothmann, one of the leaders of the Munster Anabaptists explains their position on polygamy in this way:
"God has restored the true practice of holy matrimony amongst us. Marriage is the union of man and wife — ‘one’ has now been removed…Freedom in marriage for the man consists in the possibility for him to have more than one wife…[because] polygamy has not been forbidden by God." (A Reformation Reader, Janz, pg 223)
In calling men to polygamy, Rothmann also called them to be the strong leaders of their home, because the women in Munster needed to be put in their proper (biblical) place:
"Too often wives are the lords, leading their husbands like bears, and all the world is in adultery, impurity, and whoredom. Nowadays, too many women seem to wear the trousers. The husband is the head of the wife, and as the husband is obedient to Christ, so also should the wife be obedient to her husband, without murmuring or contradiction." (Janz, 223)
The Anabaptists also seem to have produced their own jihadis:
https://en.m.wikipedia.org/wiki/Batenburgers