As with all of Shakespeare's plays, there's always a different interpretation always handy at foot, be it a woman's duty to place her hand under her husband's foot or not. 
 As it is, though, I can both be supremely annoyed with a society that demands that women be always so obedient, culturally, and be wickedly satisfied that Kate and Petruchio have worked out a true meeting of the minds and wills in such a way as to transcend all other's expectations. 
 There's a little something for everyone in this classic comedy, whether or not you subscribe to the patriarchy or the matriarchy. Kate gets a lot out of the situation because she's discovered just how much power she really holds with the right partner who respects her, and Petruchio finds a mate that will always be his equal in wit and will. Is there another definition of happiness? 
 Ignore the setting if it upsets you. These men in this man's world, even Petruchio's methods of "taming" his wife. The method merely demonstrated his deeper positive qualities by the negative, just as Kate's shrewishness belied a razor sharp wit. 
 Don't we all have such depths and thorns? 
 I've seen this one done in many different Veins, now, and the one constant is this: There are no victors, merely endless combatants that sometimes sue for peace. It could be a true power struggle or perhaps it is just an eventual meeting of the minds. What do we prefer? That's interpretation. :)