I don't think it is surprising that corporations in the West may push on politicians to push developing countries to implement policies favoring corporations. That is a long well known thing. A lot of the banana wars was about stuff like that.
The communist revolution in Cuba happened in large part because American puppets put American business interest in Cuba above those of Cuban workers.
Yet I don't really think there is a sort of grand conspiracy around this. It is just something corporations would naturally push for. In countries such as the US where corporations have very strong influence over politics, capitalism has been turned into the national religion and paranoia about anything remotely socialist, it is natural that these forces all coalesce into something that might look like what Klein describes.
Yet, I think it would be wrong to intepret everything that happens in the world through this lens. The "follow the money" type of argument get overused in my opinion. Politics isn't always calculating and smart. When studying history in detail I am always struck by how much happens in history due to misunderstandings, incompetence and random events.
Libya and Iraq naturally involved some economic thinking but we cannot ignore the fact that Libya having a history of sponsoring terrorism made them deeply unpopular in the West. And while self-interest often trumps concern for Democracy in the West, it would be wrong to assume that nobody in the West cares about human rights, free speech etc.
We could not constantly pester countries about this if it didn't matter. China wouldn't edge out the West in many cases, because they specifically don't demand respect for human rights.
People can be greedy, selfish and care about human rights all at the same time. We humans are complex. We can have noble and less noble traits.