Great way how you break your idea down in the post. The educational system will never strive for critical thinking. Because the first moment students will start using critical thinking, they spot all the flaws the society systems have. And they will eventually end up realizing that there's no need for government anymore.

But sadly, people are comfortable with it. It's the programming that has been passed generation after generation. They don't enlighten people anymore. They just create a copy... a replica to be inserted into the idiotic society.