I see... I cannot say to know what would make one a god or not, but I feel that believing yourself to be one would be rather required...

[Honestly, other than the longevity, it doesn't sound that different from what he's dealing with. Still, now he's stuck on this question of what makes someone a god.]
More than that, do your "Asgardians" watch over and guide the mortals? I would say that is the role the gods should play.