Most Turks around here are not very islamic. A few are Orthodox (not Greeks, but they call themselves Turks).
Turkey moving into a more leading role would not surprise me much. The only question is what will Iran do? They are not Arab, but Persian, and many of the people do not align with the rest of the ME. The leadership is set on agitation, but there are some signs that is changing.
The Turks and the Persians have been enemies since the dawn of time. It won’t change.