Various national liberation movements usually aim at statehood in Western terms: recognition by the major powers, UN membership, accepting the international accords (like the Geneva Conventions and nuclear non-proliferation treaty), etc. Such recognition is often seen as a prerequisite for achieving and maintaining national independence.
However, there are notorious examples of movements that aim at statehood on non-western terms - notably the Islamic State and Hamas (both militant off-shoots of the Muslim Brotherhood). Both openly defy any adherence to Western politics and values. E.g., 1988 Hamas charter states:
There is no solution for the Palestinian question except through Jihad. Initiatives, proposals and international conferences are all a waste of time and vain endeavors.
whereas softer 2017 charter (which however does not annul the previous one) says:
The agreements reached in the Oslo Accords are criticized and rejected as incompatible with international law. The state of Israel, created with the help of Western nations, is still regarded as "completely illegal" (bâtil in Arabic, a word that also has religious connotations).
The latter appears more conciliatory, but it is to my knowledge the furthest that Hamas has even gone towards accepting Western values in either words or deeds.
The Islamic State's confrontational stance led to its quick demise... but after attracting significant support from all over the globe - in terms of fighters and families joining the movement. Hamas has been doing much better until recently. Is there an "eco-system" that such anti-western movements count upon in their bid to survive and win independence? Some alternative to "western order"? It is easy to dismiss these movements as religious fanatics committed to medieval notions of the Caliphate, but this doesn't seem to do justice to Muslims.