I don't really think pointing out contradictory stances from one's own religion is a way to successfully reason against the less palatable parts of one's religious materials. If statement A is contradicted by statement B, it doesn't falsify A, it just means the beliefs are incoherent, that is to say inconsistent.
But it is a common tactic none the less. If a scripture is quoted, even in religious debates between believers, all too often the rebuttle is just another scripture to contradict the first. This only works if the assumption is made before hand that the religious belief as a whole MUST be true, and then the contradiction can't be a contradiction, it can only be a misunderstanding to be ironed out.
But if that assumption is not made to begin with, then countering a true statement about the text or belief with another true statement about the text or belief only results in showing the inconsistency and incoherency of the text and belief. It doesn't somehow erase the first one.
The law covenant of the old testament is ridiculously slanted towards men, it's an abject patriarchy. Women are property to be bought and sold, polygamy is rampant and acceptable, and raped women are considered damaged goods. In the new testament women are told to be in subjection to men, to be silent and never teach men or have authority over them. Going on to show some other scripture or part of the culture that "respects" women doesn't somehow erase the previous aspects that are true, and it only makes them "nuanced" if you assume they have to be of divine origin and infallible. Otherwise it only shows contradiction, the result of people fighting against an ugly tradition.