Each of these groups assumes it is superior to the others and of greater worth. Right in the middle there are the Kurds ~ Salaldin took over the Empire after the Turks had softened it up subtantially. He was a Kurd yet he did nothing for his peeps ~ just left them hanging in the breeze.
——they are after a Caliphate——
You assume Arab homogeneity that doesn’t actually exist.
The real Arab power is more concerned with a growing commercial empire than a religious empire. The capital is in Dubai but the financial resources are distributed throughout the Gulf .
The others you mentioned covet that power and money and influence