You remind me of the Muslim kid who asked me about Henry the VIII - "he was a good guy, right?" "What makes you say that?" "Well...he was a good man, right...he wanted, like...he had 4 wives, right...?" Sigh...

Um, no. Polygamy is the system that was prevalent when inequality was accepted as normal. The richer a man was, the more wives he could afford.

The Greeks' strong democratic principles and desire for equality among citizens made them reject polygamy in favor of monogamy. The Romans admired Greek culture and adopted Greek monogamy. The western world inherited monogamy from the Romans, not the Bible.

It goes hand in hand with a more egalitarian social system. The fact it is better for women was not a factor, but we know now that in practice it is. 

But you are right that polygamy is an aspect of Islam many are not willing to give up, and is a common feature of the parallel Muslim society in Germany:

https://www.youtube.com/watch?v=zTIjbiIiUuI