The separation of temporal and spiritual powers presents some unique challenges for any government, and many nations have codified warrants and limitations to protect the public from religious influence—or at least profess to do so. Politicians strive to approach the matter carefully, eschewing endorsement or favouritism while enshrining (or at least staying out of) personal freedom of expression.
The French nation also has five peculiars, “regional” churches in Lateran Rome, which the government maintains through its mission to the Vatican. The president is also created as the canon of this legation but sends a vicar to occupy the office in his stead. Aside from deep respect for its rich and mixed heritage, I don’t think that the Turkish government is party to anything like France’s entanglements but it would be interesting to research more into it. The tenets incorporated with devoutly crafted language into America’s founding documents, interesting though, saw its first diplomatic test and application in a treaty (DE/TK) between US mercantile interests and the Barbary Pirates, assuaging fears of enmity towards a Muslim nation. Tradition is not necessarily bias and these lovely distinctions, I think, are the exceptions that make the rule.