One of the interesting things about the libertarian socialist revolution going on in Rojava is that, though primarily Kurdish, since they are not building a traditional state or an ethnostate, they have simultaneously been able to gain allies from ethnic groups and ideologies quite disparate from the anarchistic Kurdish core AND they have been able, in doing so, to strengthen themselves and their ability to protect Kurdish cultural heritage and the cultural heritage of their allies like the Syriacs here.
Where before, under the Arab nationalist state, all ethnic and cultural minorities faced discrimination, suppression and forceful pushes towards assimilation or ethnic cleansing, now communities of all kinds within the rojavan area are able to cooperatively defend their ability to each be able to uphold, pass on and explore their own culture.
And the Arab state of Syria is not unique in this -- all states use their power to advance a cultural hegemony to some degree, fascist states most of all. And they advance this hegemony at the systematic expense of any culture that threatens that hegemony. Indeed, even at the expense of the dominant culture if elements of it start acting as a challenge to the hegemony of the state (Syria also shows examples of this, but they are by no means alone). As Nietzsche points out, the state and culture are inimical forces that exist at the expense of the other. To the extent that culture is subversive to the ends of the rulers of the state, the culture is attacked. And the more totalitarian a state is, the more friction it will have with culture, and thus more instances in which it will need to suppress culture -- both that of minorities and the dominant one.
So, if you are a fascist who actually cares about culture, I'd argue that a fascistic and nationalistic approach to protecting and spreading it is unwise, and that better results can be had through the type of things we are seeing in Rojava right now.