You say Google et al want people who don't just "do what they're told", yet one of the most distinguishing aspects of these places is a hiring process that specifically selects for people willing to jump through absurd hoops and full buy-in to the corporate mythology that doing this means you are simply better and smarter than anyone who doesn't.

That's not how you foster counterculture. In fact, that's probably why Google went so long without any internal employee conflict.