That's what I meant. They would have gone on to grab all of Europe right then, except there was nothing there worth the trouble. There was a bit of history in the time between the Saracens and the siege of Vienna. Different game. The next great danger to Europe was the Mongols who sacked Baghdad, almost destroyed Islam altogether, and who were stopped by Turks thereby saving Europe, which nobody cared about anyway.
I seem to be missing something here. If nobody cared about Europe, how was Europe saved by the Turks stopping the Mongols? If the Mongols didn't care about Europe they wouldn't have invaded, Turks or no Turks.
However, if you're trying to say that the Ottoman culture was more highly developed and their technology more advanced than anything the west had to offer at that time, I'll substantially agree.