The title makes a good point. Without the need to protect themselves from the invading Muslim terrorists, the Westerners might have not advanced technology as fast as we did.
Why were those Byzantine scholars fleeing to the west?
Because Byzantium was under attack from moslem hordes.
Giving moslems credit for the renaissance is like giving a burglar credit for thwarting later attempted robberies, because his initial burglary made the victim install a better alarm system.