I have flown Turkish Airlines twice -- once to Istanbul, and once to Venice with a connection in Istanbul --- and I had stellar experiences both times. I recall reading somewhere that the president of Turkish Air, who has a PhD in aerospace engineering, is an airplane guy to his core, and he is deeply interesting in making the flying experience as pleasant as possible for passengers. While many of the other airlines I have flown seem to be focused on providing the absolute minimum of amenities that they can get away with, Turkish Air seems focused on how to provide the as many comforts and amenities as possible. The food is first rate --- lots of fresh yogurt, tomatoes, olives, salads (with high quality olive oil), grilled fish and such -- even in coach. Children get activity packages with toys and coloring books, and adults get comfort packages with socks, moisturizer, lip balm and such in addition to the usual eye mask. There are little details of seat comfort --- headrests with adjustable side flaps to keep your head from flopping over when you sleep, footrests, and real blankets. I have always gotten first rate service from flight attendants, although, as a fellow passenger noticed on my last trip, I probably earned a few brownie points with the attendants by being able to speak passable Turkish.
So, yes, I would highly recommend flying on Turkish. And a little layover in Istanbul, if you can arrange it, is a special treat, too.
I have always felt safe at Ataturk Airport. It's an older airport that wasn't designed to handle the number of people who pass through it. Think of it kind of like Dulles, in that respect.