Ok, how about this twist on the referendum idea:
Since the Kelpers were (most of them, I assume) born in the islands, which are claimed by Argentina, that automatically makes them Argentinians, so why not:
1. Make a declaration to the effect that the Falk... Malvinas do in fact belong to Argentina
2. Declare themselves Argentinians by birthright (get a passport and all)
3. Organise a referendum of independence from Argentina
