No offense to Mr. Rushdie, but attempting to export even more culture into the Middle East will solve nothing. Militant Islam is a product of an attempted solidarity movement within Islam as well as a response to both Western intervention and cultural imperialism. If anything, more culture will be seen as an attempt to challenge Islamic beliefs, leading more to embrace radical comprehensive doctrines.
Also, just leaving the Middle East alone won't solve anything either. Best thing to do is to support moderate Islam movements within Middle Eastern countries.