You can still save the kingdom as a party full of evil bastards. Baron van Dyne can’t usurp the crown with the aid of an army of elven barbarians, because the crown is not his to steal. It’s mine.
Just like any party, you need a motivation that’s compatible with cooperation and the narrative in some capacity. The only difference is that in stereotypical ‘good’ parties, players can just default to ‘save the kingdom because it is Right’ rather than having to think about it.
I mean, if there are downed PCs, they’re struggling already, IMO.