Family? Yeah probably, kinda depends on how close we are though. My mom, dad, or brother for instance in a heartbeat, but a distant cousin? Perhaps not.
As far as the country goes, i suppose if my death would be immediately followed by ending a war or would avert immediate destruction then yes. If however you mean that I become a soldier and die in a far off land "fighting for freedoms" then hell no. Especially given the US's history of screwing over it's veterans after the war is over.