If the supposedly secular nature of Turkey and the EU is to be the nexus point at which the two can comfortably meet, then I would think that the properly integrated Muslim, in this schema, is one who ceases to view his religion as inherently more worthy of respect, toleration, or deference than any other, nor his community as being more worthy of any of that by virtue of their religious or other cultural identities (and as a corollary to this realization, also feels the same sense of equality with the Christians in his native land). I'm at loss as to how learning the language, having a particular kind of job, or living in a certain area does that. As has been pointed out in many different contexts, many a future terrorist obtained degrees from Western universities and was highly respected (and well off) in advanced fields of medicine, law, and other prestigious professions. This did not stop them from becoming terrorists.
I would hope that the standard by which people consider the idea of 'integration' would be something a bit more realistically effective, such as I don't know...wanting to integrate, including respect for the existing laws and pluralistic cultural values of the new host country. I mean, as a point of comparison, a lot of bad things have been said about how supposedly terrible the "invasion" faced by the United States from our neighbors to the south is, but I can't recall the last time a Latino killed a non-Catholic priest as an act of fomenting sectarian hatred, or killed his own daughter for dating a boy, or insisted that the Douay-Rheims translation of the Bible be placed above all other religious books in a library in light of its obvious superiority and what a terrible insult it is to place inferior texts around it, or suggested to the senate that Christians take over mosques in the North America, etc.