The murdered flotilla passengers were mainly of Kurdish origin. Kurds in Turkey, in average, are a lot less secular-minded than ordinary Turks, and that goes to tell you how much they would support such a counter-flotilla. But you can always try it and see for yourself of course. I don't think the Kurdish response would be anything brutal or disproportionate.
Islamic State destroys part of Syria's Temple of Bel, monitoring group says (Reuters)
from the article: Turkey lauds UN report on Gaza flotilla