Ban alcohol in many localities? Have you ever visited TEXAS?!? Alcohol is banned in MANY localities. :)
welllllllllllll... in some places in texas, the sale is banned. the possession and use is not. not the same thing as turkey.
OK, here is the point. You say it is unthinkable for islamists to take over Turkey.
THEY ALREADY HAVE.
The party that has risen to power in Turkey was formed out of two banned Islamists groups. Erdogan is a famously avowed Islamist, even though he has been hiding his nature by necessity (the army will overthrow him if he talks religion). He was sent to prison for 9 months for inciting religious hatred, and has quite a history proving his nature.
The government passed a ban on adultery, that is a whiff of the islamist sharia to come. Once the EU accepts Turkey, the army will no longer be able to overthrow the government at its whim. The EU can no longer threaten Turkey to behave properly or not be allowed into the EU. The Islamists can reveal their true nature.
It is already finished.