I don't think this is specifically a FB problem, but a problem that globally operating Internet companies in general face: You will be dealing with different groups and countries that have different views about things, and it is next to impossible to avoid being dragged into these political issues. Take map services as an example. There are lots of controversial borders out there, and no matter what you do, you're going to to antagonise someone.
There are also things like data protection laws like the EU's "right to be forgotten" that allows an individual to request the removal of their personal information. Of course, you're now dealing with the situation that the EU is effectively trying to enforce its rules worldwide since the information would not just have to be deleted for users from the EU but for everyone.
In the end, there is no perfect solution, and it comes down to who has more power to impose their will on these companies. In your case, FB is clearly more afraid of getting into trouble with Turkey than the Kurds. Same goes for a lot of what China wants.
There are also things like data protection laws like the EU's "right to be forgotten" that allows an individual to request the removal of their personal information. Of course, you're now dealing with the situation that the EU is effectively trying to enforce its rules worldwide since the information would not just have to be deleted for users from the EU but for everyone.
In the end, there is no perfect solution, and it comes down to who has more power to impose their will on these companies. In your case, FB is clearly more afraid of getting into trouble with Turkey than the Kurds. Same goes for a lot of what China wants.