Hmm... American have problems with countries going and blowing the crap outta terrorists? Nope, we generally approve of the death and destruction of terrorists and are normally willing to aid in assisting other countries when they decided to play whack-a-mole with terrorists.
Does the US have problems with Turkey violating our controlled airspace?
Not exactly a violation when we roll out the red carpet for your planes. You really think the Turks decided to roll 50 planes and fly into air space we control without askign first? I don't think so. Sure it would have been a great business move for Boeing/Lockheed if the Turks wouldn't have asked. I mean I'm sure those two companies wouldn't have minded a new order form the Turkish Airforce to replace those 50 planes.