alexpoli - re "makes me wonder how it can be so open to interpretation if it is such a clear book"
Quran is written very simply and clearly, in words that even feeble-minded can read and understand for themselves. It's almost as if God was disappointed at our level of understanding of Bible (full of vague stories and allegories) and has dumbed down the next book 
It is not actually so open to interpretation, especially if you are even slightly familiar with the context (historical and cultural). Quran says that it is complete, perfect and all a Muslim needs to know. And covering the face is not in the Quran - this is fact. Therefore, veils and burqas are not part of Islam.
Re veils among Turks - I haven't lived in Turkey for over a decade, but would say no, they are not getting popular. Back in '90s, it was non-existent. Maybe once a year, you would see a veiled woman and she would certainly be accompanied by a clearly Arab-looking man in white robe-like Arab clothes - tourist, in other words.
Since then, we have had significant and deliberate Islamisation of the country, thanks to our lovely modern and moderate
elected government of Islamists. During this time, I have seen a marked increase in headscarves
but still have not seen a single veil (and actually just now struggled to remember the word for "veil" in Turkish, that is how far removed it is from daily life).
It is very strange if the veil is in fashion among Turks in the UK. Headscarf possibly, but surely not the veil.