Publicly disgracing yourself and letting deceitful Muslims embarrass you has no positive benefits. That's not how they how they operate. It's just an invitation to be walked all over in the future. Turkey who can not even acknowledge the genocide of Armenians or apologize to Kurds has no write to demand apologies from others. Perhaps when any Muslim on the planet apologizes for anything there can be a discussion. Are any Muslims willing to humble themselves to Jews in the manner Dave suggests Israel do? Of course not. Israel's biggest mistake with Turkey was not immediately blaming the whole flotilla on them and loudly demanding an apology.
4.2-scale earthquake felt in Dead Sea, Jerusalem area (Haaretz)
from the article: Israel-Turkey diplomatic crisis nears its end