Well well i heard this story for dozens of time, but i am afraid that in this point you are mistaken dear islamirama.
First of all you pay too much attention to muslim influence on Europe, while it was more than 1000 years ago !
Of course Arabs translated Aristotle works from greek, and brought numbers invented in India(!) to Europe, but only this didnt make Europe such succesfull and well established nowadays.
Muslim influence on Europe took time more than 1000 years ago ! It wasnt greater than for example indian or chinise influence.
Its true that in very early medievel europeans were quite barbaric and not educated, but dear mister just look how those barbarians developed during the next ages !
You only look at what hapenned in very early middle ages, but see what hapenned in next years.
See that since 12 th and 13 th century europeans developed much more than muslim civilization.
Just look how dynamic and rich Europe was in 15 th, 16 th, 17 th, 18 th, 19 th century ! And what was the condition of muslim civilization then? Poor Rather.
I dont want to be rude but please remind me what muslims invented sighnificant during the last 1000 years? Why their development stopped so quickly?
And since middle ages, we westerners invented-
-Planes,
-Computers,
-Ships,
-Television,
-Radio,
-Internet,
-Laser,
-Cars,
-modern medicine and cures (we can transplant heart now!)
-Mobile phones,
-CD's,
-modern weapon( tanks,machine guns, rockets,),
Western world is represented by such people like-
Einstein,Beethoven,Mozart, Shakespeare,Leonardo da Vinci,
Michael Angelo,Bach,Copernicus,Dante,Machiavelli,Rafaello,Thomas More,Galileo Galilei,John Locke,Voltaire,Rousseau,Charles Darvin,Giuseppe Verdi,Pasteur,van Gogh !
It wasn't muslim people, they were all christians, europeans.
We sent man at Moon ! We flew to space !
We created modern science and philosophy.
Without us, Europe would never be such succesfull.