I will sound presumptuous but since I am one of the few actual Balkan Muslim in this forum and since I have big interest on cultural anthropology (in general), I assume I can give a legitimate answer
One main issue first is to define "Europeanness" as a cultural identity, but I don't have time or envy to write extensively about this since it is outside the scope of this thread.
Anyway, as much I don't believe there is an "Africanness" nor an "Asianness", I don't believe we can reduce Europe as an homogenous cultural block, but rather different continuums of civilizations that spread accross geographic lines (e.g. the Northwest mostly Protestant, the Latin Catholic area, the Orthodox Slavic world, the Balkans, which for me is a Byzantine-Ottoman synthesis, ...)
For instance, I guess most people will project and confuse "Europeanness" based upon the hegemonic Anglo-Saxon/Northwest European Protestand-influenced "civilization", the roots of White America (WASPs), that are well summarized in this pic :
If these are the core features of "Europeanness", not only Balkan Muslims deviate from this, but many Orthodox Slavic people or Southern Europeans.
It is true though that Islam aggravates the deviation from these features, fundamentally by re-inforcing patriarchal/socially conservative values (differences of gender roles, low women employment, macho culture, traditional family as life goal, ...), having a more passive spirit (laidback, not rushing after Time, a form of fatalism, accepting Destiny) in contrast with Protestant work ethic (promoting innovation, industriousness, challenging status quo), but then again these are deviations that intensify the more East and South you go out of the Northwest European core center that are not just tied to Islam (like in the Balkans, and once you cross the Mediterranean and go to MENA, it deviates even more, regardless the religion).
Having this in mind, both from a theoritical point of view (distance to core Northwest Europe + Islam as an aggravating factor) + IRL experiences from my own, I would say the most "Ottoman~Oriental" feeling in the Balkans, is not among Bosnia Muslims but among Albanians from the Prizren-Tetovo-Kumanovo-Skoplje area. Any Serb or other Orthodox Slav going there will get a more "exotic" vibe than going to Sarajevo.
For instance, this rural circumcision celebration in Stružje (village in Kosovo, just between Prizren and Tetovo in Macedonia) would be a "good" example of this "exotic" atmosphere for the average European, despite being populated by ethnic-genetical European people, much more than any ceremonies in Bosnia.
Wedding celebrations are also good manifestations of "deviation" from the "average" Europeanness (although as I said before, I disagree with it since it's a wrong and inaccurate concept, but whatever, for the sake of "average" folk knowledge, let's assume it is relevant)
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