I, on the other hand, consider the story to be too simplistic. It reads like an abstract concept hammered out by a smart person far from any actual life-threatening situation, which is what it actually is.
The captain and his mates don't necessarily need killing, even though a revolt might be desirable. Even in plenty of actual ship mutinies, the rebels didn't outright kill the overthrown officers, only imprisoned or marooned them. And that was in the context of the death penalty hanging over them if they failed.
Violent revolutions in general have the small problem of bringing other violent psychopaths to power. Kaczynski might not mind, but I do. It was a well-known problem in actual pirate crews as well, and pirates actually had some interesting rules (including a fairly modern division of powers on board) to prevent the most violent psychos from taking over their ships and introduce some measure of consensus into their internal politics.
His caricature of "weaklings abhorring violence" does not address the succession problem at all, and even if the original officer crew was bad, another officer crew self-selected of willing murderers could conceivably be worse by being both professionally incompetent and ready to torture their opponents etc.