When I got back into the game last month, my fiance (now wife) picked up the Misaki box and a couple of snipers. Now that we have some free-time, I've been able to test some of my theory crafting against this killy crew. Most people, when they see a problem like this, they look at the rest of the faction and say, "What can my faction bring to solve this problem?" Prone, as I am, to the Mimic sub-faction, my answers must be found there. Mimics are a control crew that requires a lot of finesse, so while it would be nice to be as killy as my opponent, let's consider what is available.
Lucius and the Scribe shut down models fairly well with their Red Tape trigger; throw in some Mr. Tannen with his Yawn trigger and Cooler ability, and we'll have Misaki and Ototo unable to effect very much at all. Both Guild Lawyers, with their Impassioned Defense, Fees and Ojection!!!, cannot be overlooked, if anything their redundancy insures that the models we want stopped, will be stopped. Once things are suitably shut down, Mr. Graves and his Changeling accomplices are sent in to mop up. The issue is in the implementation, what do you activate first? We want Yawn on Misaki, so Mr. Tannen should activate toward the beginning of the turn, and stay within the Df +1 aura of the Scribe. If Bore To Tears goes off, Misaki will be far less threatening, though Mr. Tannen may still be in peril. This can be enhanced by the Doppleganger allowing you to cheat initiative, and Candy's ability to influence activation priority. A Misaki with Nobody Likes Me, is a Misaki that is much easier to deal with, and, baring that, if another of her crew (or two) is under the effect of Mood Swing, that will us enough time to manipulate the board to our liking. Or the classic: Mood Swing 1st activation within 3" of Candy to apply Sweets and Paralyze the activating model.
"So I tried to save face and I rest my case
The judge pulls me aside said c'est la vie
Let your darker side come out to feed"
~"Kangaroo Court", Capital Cities