While I wholly agree with 95% of your post, especially your liberal use of comedians as references, I think the whole basis of this "that's what she said" is grossly misunderstood by those opposing it. It's a phrase that highlights innocent phrases that could have a sexual meaning. Generally, they would be something a woman could say, however I've heard many a "that's what he said" as well. It's a stupid, immature joke that I'm shocked would be propagated by anyone over 17 but let's not ascribe some deep Freudian meaning to something a 15 year old came up with.
Oh definitely! It's a silly grade-school joke. Which is one of the reasons, I think, why this conversation is so difficult: nobody's thinking "Let me go out and reinforce the patriarchy", twirling their evil mustaches, they're just making a silly joke that incidentally revolves around treating women like objects, TOTALLY UNINTENTIONALLY. But that doesn't mean it doesn't have an effect on society.
Part of my undergraduate thesis, which I'm currently working on, revolves around this idea that when systems break, it's rarely due to anything malicious. It's because life is really weird and complicated and it's hard to design bug-free social structures. But that's why we have to be aware that such bugs exist, and develop ways to fix them when they pop up.
Ah I wasn't aware the effect was so pronounced, although I can definitely see how that would happen. Out of curiosity, what's the consensus on how an overtly sexist or racist joke told among friends in a non-serious way affects social dynamics? I'm sure we're all familiar with this type of humor and I would hope that the joke would serve to make fun of the stereotype and not reinforce it but I'm not sure.