Again, more double-speak. One can't have equality in a marriage, in which one partner "has authority" over the other partner. The "separate but equal" argument has been used to justify racial superiority laws as well.
I hear over and over again by proponents of fundamentalist Islam that women are treated as being equal, and yet the women also prefer to be covered, don't mind not being allowed to drive or vote in countries like Saudi Arabia, which is a theocracy, because they say it makes them feel "protected". If equality is defined as something as flimsy as a sentiment being expressed that one "feels equal", so therefore equal rights amendments aren't needed, then it's a lie to say that equality exists. Tell the victims of honor killings, wife beatings, and of overbearing husbands and fathers who take their authoritarian duties a bit too seriously, that if these wives only felt more equal, then being killed, battered or harangued wouldn't feel so wrong.
Better to be honest and voice the truth that those believe that men must have authority over women want to do so, because they believe that women are the weaker sex, who need guidance, and who aren't bright enough to make decisions for themselves. And the fact that people use the excuse that God told them to set up this rigid hierchary that way, don't have a shred of logical reason to back up their claim. Faith and scripture are matters of interpretation, and if everyone interpreted their religious scripture literally down the letter, we'd be stoning and burning people to death for sins such as adultery, witchcraft and heresy. But we don't.