I fly on Turkish Airlines often - in fact, as often as I can...I (literally) go out of my way to fly them. They provide a very nice business class experience (if you can swing it, you'll love it), it's the best way for me to get between Seattle and many parts of Europe. I look forward to flying on them whenever I can (by the way, it's "TK" not "TA").
That said, IST is a huge, vast airport, with lots of walking between places. 1 H 5 m for a connection is a little tight. But assuming you are all on one ticket, if you mis-connect TK will put you on the next available flight - check their schedule to see when that would be (could be just an hour later, could be next day). If the risk is just a few more hours in the airport, I'd actually call that a win - if you can get access to their lounge, it's a great place to relax for a few hours (my spouse now gives me a hard time if we have a connection there with less than 3-4 hours because she wants a massage and I like their lentil soup...so time in the lounge is a good thing for us).
TK is a great airline. You will like it.