The Turks were interlopers, not just in the Levant, but also in what is now Turkey. That is historical Greek/Hellenic territory. The Turks moved in from around Kazakhstan or someplace. They built fearsome armies with good armor and big, tall, strong Jannisaries taken as slaves from nearby countries and used as shock troops. They were also early masters of artillery. A pretty tough fighting force. More than a match for the Greeks--on land at least. Any Turkish claim to Israel was extremely dubious, at best.after the Ottoman Empire was defeated in WWI
Now, Syria still thinks they own it all.