Frankly, she doesn't meet the criteria. She's not in Europe (yes, I know a tiny bit is) and she is way too poor. It took time to digest the Iberians and Greeks, now we have to digest Eastern Europe, we just aren't going to be ready any time soon for 80m million turks with a GDP per head of $7,400 (compare the UK at c.$30,000)
You are mistaken. Firstly, it´s not 80 million but 70 million. At least now. Secondly, the number of 7400 dollar is irrelevant. It is not - and it is dismaying that this has to be repeated so often in discussions about that - as if anyone would plan to grant Turkey EU membership next week! The date we are discussing about is 2020. If you consider the growth in Turkey of 8.2% per year that makes a GDP of 24,000 dollars when Turkey enters the EU. That´s more than Greece has now. This is speculative, but any argument that Turkey will not meet economic requirements by 2020 are equally speculative.

That Turkey will get taken over by islamists is unlikely. Many Turks are very loyal to the ideas of Ataturk. The current government is as fundamentalist as common European christ-democrats.

BTW, the EU has promised Turkey that it will have a chance to become a member for more than 30 years now. If we rule out the possibility now, that´s simply deceit.