The Almoravid Empire was a powerful state during the Middle Ages, credited, among other things, for saving Southern Spain from the Catholic Kingdoms to the north, as well as destroying the almighty Ghana Empire. However, the Almoravids fell not to invading Christians, but to revolts by the (presumably) intolerant Almohads.
Your challenge, with a PoD no earlier than 1080, find a way to prolong the Almoravids existence at least to 1270. Bonus points for getting it to the modern day (20th-21st century)