I've been acquainted with a great many of these ideas when I was training as a life coach, but I still picked up some new ones here. Its really interesting.

Flexibility is power.
The person or element with the most flexibility in a system will have the most influence. The more mind flexibility a person has he will open up to more options, therefore his ability to change himself and influence will be bigger. More flexibility means being more open minded trying new things that can lead you to your goals and results you want.

This I agree with wholeheartedly. Its like short term Darwinistic adaptation in play.

Maybe you know someone who is charismatic and alpha in a group but can't show leadership at work?

I think this should be the other way around though. I have the privilege of knowing a great many charismatic individuals, and all of them were great leaders. I think the only two valid approaches here might be that a workplace leader by designation need not necessarily have the influence and command of a true alpha and leader to lead outside of his post, or a genuinely charismatic leader and alpha who is outside of the realm of his expertise and so must defer to another who is of greater expertise in the situation at hand, suggesting a choice not to lead for better outcomes, which in itself demonstrates genuine leadership mindset.