personally, I'm concerned that the EU's human rights laws will possibly destabilize Turkey and will allow the influence of the scary brand of Islam to flourish.

If you want an example of a once non-scary country that became a hotbed of that nasty type of Islam then you can look at Pakistan. I know Pakistan is not in the EU blahblahblah but it did go down that fundamentalist path quite swiftly. A couple of decades of free reign for the scaries and you may find Turkey a completely different place in 2020.