DM factions like the Pissing Crone don't have any PC's ((not to my knowledge)) in them.

How do we join? Right up an Application and wait and go to Cyrus and say "I wanna join" And he says, "Sure." How does it work?

Just like that.

Furthermore, I find it better to put in your application before you go around getting your IC recommendations from those PCs/NPCs already in the faction.