I don't think that's what people mean by a "Mediterranean diet", vacations and resorts aren't really representative of a traditional diet, which is what I think people are referring to.
The most common turkish[1] food around here is the "kebab shop" which is the equivalent of a Californian burrito joint and is definitely meat centric. (Compare "kofta") As for greek, gyros and moussaka are two counterexamples.
[1] I've heard a story that Döner Kebap as served here was actually invented in Berlin, but that hasn't kept people with mediterranean complexions from asking me if I knew of any turkish food around and then being very happy when I gave them directions to the kebaberie.
Sure, now, but like with most of the world I suspect that the food most people ate traditionally was what they could grow because meat was too expensive for most people to afford most of the time and that's what they mean when they say "Med Diet", not what you can get now which is kofta and chips.
