Okay. One cannot be in more than one Faction at a time. The only exception is the War Team, as they can choose the show off either or both ranks Userbars.
When a Faction Splits, it means that it will now solely focus on one subject, and one subject only. So it'll be 100% Breeding or 100% Art from there on out.
The challenges of the Chaos Faction is up to it's leader, but it's fun little things that involve PO, In-Game, and in latter ranks the side-games, but to keep with the clan theme, it must be dark.
Also, what Pokemon do you want for your Userbar as Art Leader Luka? It must be a Dark/Psychic/Ghost/Water/Ice type, and do you have Photoshop or GIMP?