I'm thinking it would be neat if you got a whole bunch (technical term) of points with a particular faction, it unlocks an extra, faction-specific quirk. Whether it be for all Mechs or a select few, I'm not sure.
As an example:
Player B. D. Davion is aligned permanently with House Davion.
B. D. play community warfare and earns [max-near max] loyalty point for House Davion.
B. D. Davion has unlocked quirk 'ballistic cooldown -5%' for Victor and Blackjack.
B. D. Davion changes factions to House Kurita, loses quirk.
All numbers are purely made up for example purposes. I won't even pretend I know how to balance anything.
Anyway, just an idea that's been floating around in my head. Pretty sure it won't make a difference, but I wanted to feel like I've contributed.