This is actually a pretty good reason to move from group 3 to group 1. If your goal is to be part of group 3, but are unable to find an organization with a healthy culture, then there may be an opportunity to build your own.
Then you end up with the "grassroots politician" problem: you go in to fix a problem but realize the money is just too good (now that you're the one getting it) to change the system.
Or the power or whatever. All I know is it seems to always turn out this way. The current generation can't be the first ones to ever want to change this, yet the system is as it is. This is my suspicion of why that remains the case.