One thing you learn from game theory is that you need to understand the rules of the game everyone is playing. You cannot change them, you can only play by them.
"Making a cultural change" is not something you or any group of people can do. The superstructure of the game decides those, not the players. You can try, but nobody will play your new game.
There’s room for both pragmatic and idealistic solutions in most cases. Sometimes the rules of the game change on short notice, and being in the right place at the right time makes all the difference.
It is not about playing new games though, but about affecting subtle changes over prolonged periods of time. You can't know the outcome, but you can help steer the right overall direction.
Thats not at all a leason I learned during my years with game theory. It sounds like a life-lesson completely orthogonal to game-theory.
And wrong I must add, ignoring people who have made an actuall change in the world (although its true that most people end up making very little difference either way).