I don't have any issues with TK's safety record, and I feel as safe flying them as I do any other airline. Yes they have had a few incidents lately but that is by no means a reflection on the airline as a whole. Other airlines have similar incidents from time to time. At least TK's engines don't seem to spontaneously burst into flames, as have happened two or three times to BA in the last year or so.
If one goes back on this forum and read about peoples experience during the coup, the attach on IST and during the snow fall last December then it varies widely how people were treated by TK. And yes, if I was a TK employee during a coup I would probably worry more about the safety of my family than some travelers stranded, but it does seem that people get very different treatments when something like this happens. And if I was traveling with my family this would be a concern to me.
But as others have stated as well, TK is extremely good at recovering from IRROPS, so if something does go wrong they will get you on your way faster than anyone. In my opinion anyways. Its the way you and your family are treated that may either be fine, according to some, or horrible, according to others.