There's something to be said for creating an alternate reality. Arguably, it too encourages forward progress.
I'm not saying The Inside is mysoginistic. (I've only seen the one but I sincerely doubt that would be the case.) But I can see how some people would really prefer the other approach.
Just read the article, and it makes me perhaps interested in catching Grey's Anatomy, when I hadn't been before because the promos were so very SEX!SEX!SEX! (which is a story element I, purely as a matter of taste, find uninteresting, cf Buffy S6). I would never say that we should go out of our way to address the nastier elements of life because something like casting happens to make it more apparent - I've always been a big believer in colorblind casting any time the script doesn't specify a race, because you might be closing out a brilliant actor based on looks and that is something I loathe. I don't mean that you should change what your show is about to highlight those unpleasant parts of life. What I mean is that I don't think shows should be expected to completely dance around them.
I guess my feeling is, if you don't want to watch something because you don't like that it is horribly misogynistic, or forces you to be exposed to violence you'd rather not see, that's your business and it's precisely the way to deal with your discomfort or upset. My problem starts when rather than saying, "This contained [whatever your thing you don't like is] and so I won't watch it," people say, "This contained [thing x] and so obviously its creator is morally bankrupt, completely supportive of [thing x], and should not be allowed to make art."
As ita pointed out, there are times when portraying something without supporting it is still exploiting it, and I don't like that, either. But if it is part of a well-constructed story, it fits within the story, it is not being used as a shortcut to certain reactions, then I don't think it needs to be changed. At the same time, if you have a story that forces us to suspend disbelief a little bit (like the extremely diverse hospital staff in Grey's Anatomy), but it would not add to the story in any significant way, I see no reason to bring that disconnect between real-world and TV-world to the fore and go on about it at length. (We should just assume that's a diverse hospital and that's how it is, rather than messing around with statistics of how many doctors may or may not be black or Korean or white or any other racial or ethnic group.)
ETA: I do think that if the ONLY stories available to us were ones that highlighted misogyny then something would need to change. And you can make different arguments about how present misogyny is in art currently. I do not feel (emphasis on the emotion present there) that it is so ubiquitous that we need to go on a crusade to make sure it isn't portrayed anywhere at all. [My main point that I have now completely left behind is that there is a difference between a misogynistic show and a misogynistic character, and I think that is an important distinction.]