A perfect example are the Kurdish people spread across Syria, Turkey and Iraq. They identify as Kurdish; and don't view themselves as citizens of Syria, Turkey or Iraq. In the emerging world, this situation is common -- basic services are provided by local tribal groups, not by the national government (which is usually dominated by another ethnic group that diverts resources to its own people). Those tribal groups may or may not be confined within a single country.
Nationalism cuts both ways -- it's useful for tearing down the walls between ethnic groups within a country, but take it too far and you get Nazis.