The Fetullah Gulen movement is not that "shadowy" - it is a massive outfit its own website and quite a large number of media outlets.
BBC story with some details about Ahmet Sik's case.
Recent NYTIMES story about Gulen charter schools in Texas.
I'd be worried less about the Gulen movement and more about the AKP's actions - though given the Turkish military's actions in the past, it's hard for them to complain about creeping authoritarianism.
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