In Spain I wouldn't parade past their churches/walk about in town wearing a bikini. Likewise in the UK I wouldn't parade about semi naked unless I was on a beach. No fear in it.
Some Muslims prefer women to be covered. This country has a wide range of styles of dressing. I would be surprised though if they approved of half naked women and men moseying about their town and outside their Mosques.
Has anyone asked a cross section of Turks? Not that it will make any difference to what happens, people will continue to dress they way they always have.