I won't debate with a woman any further.
I assume you're willing to debate with a man, then? Alright:
In order for two things to be equal they have to be the same. Difference denotes inequality.
No, "same" and "equal" are two different concepts. A thing that is equal doesn't have to be the same substance; it can be the same merely in value, quantity, or prestige. This is a basic economic principle. Four quarters is equal to a dollar bill, but they're not the same. You can trade x amount of barrels of oil for x amount of steel or gold, and they're equal in value, but different in purpose.
If men and women are not equal, as you say, then you would be able to quantify it economically. Are you saying that one man is worth more than one woman, or that one woman is worth more than one man? This is what the Chinese and Indians do when they abort female children in favor of male ones: to them, the males are worth more.
But what saith the Scripture? "There is neither Jew nor Greek, there is neither bond nor free, there is neither male nor female. For you are all one in Christ Jesus."
This is a divinely inspired text which affirms that men and women are equal in dignity before the eyes of God, and that's what matters. A husband should lead, yes. But the Christian husband leads in a consecrated act of service to his wife and family, just as Christ washed the feet of the Apostles, and the Pope is called Servant of the Servants of God. In my opinion, a good husband should glorify his wife like they did when they dated each other before marriage. It seems like a select few traditional Catholic men expect their wives to be little more than babysitters and sperm receptacles. And with even the good, virtuous traditional Catholic men out there, it's a little disappointing to hear about their never taking their wives out on dates anymore.
I have no interest in hearing my wife talk about intellectual things, I just want her to be well-informed enough not to do something stupid while I'm not around.
What would you want her to talk about, then?
even if she were an intellectual, i'd rather her keep it in her head.
Proverbs 31:26, "She hath opened her mouth to wisdom, and the law of clemency is on her tongue