I. What puts you off in a faction? (iRP and ooRP)
I'm pretty sensitive person and I just can't be in one faction with toxic, rude or evil people. Even if the faction is good itself, I will leave this most likely for the sake of keeping my nerves alive.
I also don't like a way too PvP-oriented factions.
And, at the end, I can't be in factions, which use Skype for their chats. That's for ooRP.
As I've said, I'm pretty sensitive pacifist and it goes for my characters as well. You see, may be I am a good roleplayer, but sometimes I can't prevent myself from putting my personal traits into my characters. So, if something really mad and cruel is going on, my character will question himselfs about his place in this faction and will leave most likely. That's for inRP.
II. What makes you log and long for faction interaction? (iRP and ooRP)
I guess people around me. I'm truly into discussing political situation in Rheinland on my DWR character, interrogating people in Kusari on my KPT character, researching stuff as KRG and so on. So, yes, in nutshell it's RP.
Sometimes it's PvP as well, like my logs in 6th. It's rather enjoyable to take part in group fight, being honest.
III. Specifically, would you care to interact, support or play in a faction that specifically goes for supplying underdogs with at least an inch of morality? (That is, no slavery, no carda and stuff of that sort.)
I'm always interested in interactions as long, as the person on the other side is interested as well.