I'd say so. In July during the Israeli-Hizbolla dust up Turkey was accusing the US of employing a double standard in the region because we supported Israel's right to attach the hizzies but we were preventing Turkey from attacking Kurdish rebels in Northern Iraq.
Glenn Beck has been saying that his sources ( I know, I know..he's a radio entertainer but he is paying attention to the M.E.)claim that Turkey is being radicalized almost daily. Turkish newspapers are virulently anti-American. Their biggest blockbuster movie is about war with the U.S. and their current best seller in fiction is a book about murdering the Pope while he's on a visit to Turkey. Supposedly the Turkish government is getting colder to us everyday...from their refusal to allow us to stage troops and materiel in Turkey near the Iraq border to the present day. And no matter what they think of US...they really hate the Kurds and we have to be very careful dealing with the Turks. I'd say that region is more of a potential powder keg than the Israeli-Lebonese border.
I would opine that Iran and Turkey may strike at Kurdish rebels in Northern Iraq, but I doubt if they would seek to annex territory.
I hope the Pope reconsiders his plans to travel to Turkey. It strikes me as a "spider and the fly" situation.