At least 'development' wise, Europe didn't pull ahead until the 18th century. Militarily I'd say it was sometime in the 17th.
And having a Muslim Europe doesn't fulfill the criteria of the OP. You can still have a more developed Europe, it'll just be a Muslim more developed Europe.
The best way is to find some way to keep the Mongols out of Mesopotamia. They completely wrecked the infrastructure in the area, infrastructure that had been building up for thousands and thousands of years. Even then there's no guarantee, there's simply far more arable land in Europe than in the Middle East. Someone is eventually going to take advantage of that. I mean, the problem in the Dark Ages in Europe wasn't that Europe was backward and ignorant, those were just symptoms. The problem was that Europe experienced a substantial economic and demographic collapse towards the end of antiquity. As the Crusades proved, Europe could still throw its weight around once it started to recover.
You'd need a geographic or climatic PoD to do this.