The overall plot is on wiki now. I really dislike how they characterize Satine. Beside her firm belief of peace, as a politician she could do nothing in the crisis beside call for Jedi's help and that's exactly what Maul wanted her to do. Vizla is quite dumb as well, he didn't kill Maul brothers when he had the chance and imprisoned them together. Then he accepted the duel. Palpatine really got little reason to go by himself, he could expose his identity by doing this and Maul was very willing to serve him. He could use his former apprentice for his goal and let Dooku/Anakin kill him when the time is right.