I don't understand the rational basis behind people's opposition to Anita Sarkeesian's work, if indeed there is any.
I grant that I haven't plumbed the depths of Reddit, 4chan, and sundry gaming forums looking for reasoned argument, because those places are fucking gross. But what I have found seems to be naught more than a paranoid chorus of "she's out to get our games!"
Some self-identified "gamers" seem to think that Sarkeesian's saying "Stop making games". She's not. She's saying "Games can be better than this. Make better games."
The myriad cries of "censorship!" and "political correctness!" suggest the perceived danger is that games will change as a result of Sarkeesian's critique—that the amount of abuse and misogyny will decrease, and that the number of female characters with agency and development will increase. This makes the rallying cry of "she's out to get our games!" sound more like "she's out to emasculate our games!"
I have news for you, gamer dudes. If gratuitous misogyny and violence is how you define masculinity, then you've got a big fucking problem.