Outwardly, they were growing their hair long while their wives were cutting their hair short. Inwardly, they were becoming spiritually wimpy while their wives became the spiritual authorities in the house. Paul addressed all of that back in chapter 11. This is a parting reminder for these guys to shape up and be men of God. This has really been the major point of Paul's letter, the conclusion that he came to with almost every subject he discussed.
Love is the more excellent way.
Instead of exercising your rights and arguing your points, you should be exercising love towards one another. In Subjection To Such Men Stephanas and his family were among the first to be saved in Achaia. They had become people that served God and the body of Christ. If anyone should have had a following in Corinth, it was Stephanas. Not like these other divisive teachers you've latched onto.