It might be very arrogant but I totaly believe it is accurate. Same thing can, of course, be said for the histories of Greece, Great Britain, France, Italy, Germany and Russia. Pushing Turkey away from Europe is pointless and useless because Turkey is already European and a part of European history for hundreds of years. This is a fact, no historian with a self esteem can deny that.
Ottoman's main lands were Western Anatolia and Balkans, not the middle eastern parts of the empire. (That's why millions of Turkish immigrants from Balkans to modern Turkey created a huge trauma in Turkish public) Iraq, Syria, Hijaz, Egypt, Libya, Algeria, Tunisia were never really Ottomans, these regions were just parts of the empire whose governors were appointed by Istanbul but free in their internal affairs. Turkish culture did not really affected these regions as you can see in the example of Egypt and Saudi Arabia. (Some parts of modern Turkey, especially Urfa, Mardin, Hatay, Antep and Kilis, were more Arabised than these parts of the empire were Turkified.)