Not really. Right/Left labeling is silly in general so it's hard to explain in those terms, but Turkish military is and has been anything but Left. You could maybe call them reformist, secular authoritarians, in opposition of religious, populist authoritarians.

Interestingly after 50 years and 2.5 coups, the kind of people they pushed out are the ones running the country for the past 20 years and they're stronger than ever. I take it as a signal that the problem wasn't specific individuals and parties, but they were merely symptoms of deeper problems with the Turkish people.

Maybe it's the same for US as well.

There was a momentous coup in 1980 that clamped down on the left and nurtured the religious right, to counter communist influence. It was a Carter administration project. https://en.wikipedia.org/wiki/Green_Belt_Theory