If the government looks for authentic representatives of each culture, the it will find that conservative kind of representative. In practice many European governments do nominate conservatives, often religious leaders, as representatives of an immigrant minority. For instance, in Amsterdam local politics, Turks are assumed to be Muslims. The imam of the local mosque is assumed to be their representative. Even if they atheists, even if they never saw the inside of a mosque and don't know where the local mosque is.
Multiculturalism makes culture hereditary.
They are born to be Turkish, whether they like it or not. Children, whose parents are both Turkish citizens, are defined as Turkish. So, the extra language they are taught, is Turkish. This labelling process continues into the next generation, and perhaps into a 3rd and 4th generation. This approach has harmed many children of Moroccan origin in Amsterdam.