What's the Deal With the Gulan Movement?

In 2016, Turkey requested Gulan's extradition from Pennsylvania and continues to do so because they say that the Gulan movement was directly responsible for a failed coup attempt in the Turkish government. This is where things start to get interesting because if we follow the money, then I'm sure some of us listening are thinking, well, problem number one, this would be federal tax dollars supporting a religious movement,. right? So that could get sticky. But more importantly, this becomes federal tax dollars to some degree unknowingly supporting an intervention in the affairs of a sovereign nation, which is, in some cases, considered grounds for starting a war.