I would be open with her about some of the factors that produce these dramas. My mother did that when I was about that age... it helped to know that it was common, didn't actually have much to do with me (if anything) and that it eventually goes away. (If you choose your world carefully as an adult!) Am sure there are books on this topic that others may be able to suggest.
If you live somewhere that has activities for gifted children, you might consider enrolling her. Chances are she could find someone outside of school who could be a true friend. Especially today, the friends don't even have to be local!
4-H is another activity that is usually drama-free and provides leadership development.