Chaotic yes...but also inefficient.
The organized structure allowed for greater reach and power. Fleeing from Catholic inquisitors was much harder than fleeing from the divided Muslim sects.
In many ways we should be thankful they are as disorganized as they are. Under solitary leadership they could pose a much greater threat to peace and the west.
Granted, once they would be unified - one would hope they phase out some of the more primitive aspects and interpretations of their religion, much as Christianity has had to do to keep current.
SDAI-Tech1