Berber Domination?

How practical would a Berber domination of Morroco & adjacent areas of NW Africa be? I am looking at a event similar to the Christian Reconquista of the Iberian peninsula of the 15th Century. Perhaps paralle to or a bit after the Reconquista. Any experts on this region see any possibilities there?

If it were practical for a non Arabic dominated Berber state to emerge what might the probable limits be and would it have had any endurance?
 
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