I highly doubt that. I highly doubt that Cyprus, Lebanon, Syria or Greece would support the Turks. Least we forget that the Turks butchered 58,000 Kurds, this on top of their record since the turn of the last centuary of 1 million Armenians, 500,000 Assyrians, 2 million Iotolan Greeks and 100,000 Cypriot Greeks. No one in the ME, N.Africa or the Balkan/Central Europe loves, or even likes the Turks.
It's not about who likes the Turks - nobody does. It's about who likes the Kurds - and again, nobody does. Not Syria, not Iran, not Iraq, and those three countries are the only ones that get a vote when it comes to helping or hindering Turkey with the Kurdish problem.
Probably not the Russians either, which Turks call for support of Chechenya for close ethnicity.