A War Between Two "-nist"

"Women should be obedient to their husbands. Be good wives and serve their husbands. They should tend to their husband's every need without complaints because that is what they should do." Mr. Axworthy (Male Chauvinist Pig)

"We're not living in the Stone Age anymore. We're humans who can also decide for ourselves. Women should not be held to outdated expectations and should have the freedom to make their own choices. Why would we want to be only defined by what society thinks we should be doing as women? If men could do it, women could do it too. They're not above us because they're not our God. "Ms. Allegra (feminist)

What if FATE decided to meet them and put them in a situation one can't imagine? Could World War III be happening?