Considering what Heth has evidently done to Kaalakiota, if the KK board does not vote him out and put him on his ass, then I will be sorely disappointed. As far as Caldari Constructions goes, with 7 or 8 megacorporations aligned against him, it won't be hard to destroy him. If nothing else, they can have CFU (which they control) simply refuse to loan them any money. From the sound of the Caldari Financial System article, that would destroy them in a hurry, and make them vulnerable to all sorts of economic (and other) warfare.
That is assuming they don't just arrange for him to quietly disappear and, oh gee, what do you know, he has no next of kin. Stock is sold off to pay off his (many) debts and the megas devour it. I do not understand why people thing these are so insurmountable. Caldari law was written by the megacorporations, don't think that they never anticipated things like this. Extreme sanction exists for a reason.