Hey!
I have just started working on my game. I have chosen an iconic duo from manga: Edward Elric & Roy Mustang from Fullmetal Alchemist (my fav manga series of all times! :D).
I've been thinking of the way you describe Character 1 and Character 2 actually. Both are indeed stubborn in the series, but Mustang has more social skills while Edward is more likely to add complications to the plot. So I will set Mustang as Character 1 and Ed as Character 2, even though Ed is more "bull-headed and brash" than Mustang. I guess rules are flexible on this but would love to know your opinion! :)