I know there are plenty of people that don't want anything to do with LJ anymore, and there are people like me that had a character somewhere, and gave up the journal to someone else. So, how does an offshoot sound? A Carnival Noir, so to speak. It can interact with Carnival Diabolique if the muns so wish, but it can have its own threads and its own events. I know it sounds weird and confusing, but basically the two can interact, or they can be separate, depending on how you want it. And each character can be different. Like, say, for me: y!Asch can be in both and his actions influence both, but OMG!Symphonia Colette is only in the IJ one, and her actions don't influence what happens in the LJ one (If the mun for IC!Colette decides to join), and Andy's in both but his actions only influence the site it's on. Like IJ only influences Carnival Noir, and LJ influences Carnival Diabolique.
If this confuses you, or if this interests you and you wish to know more, comment here.