Well, Siegel CLyne was Chairman once. I think he has money that Lacus inherited, Plus lacus has supporters. Remember at the end of GS how one of the council members enters to a room an arrest Izaks mother right after Athrun's father is killed?. She is the one that comunicate Siegel Clyne (and kira, lacus, markio) that they council members were lied and Spirit Break true objective was Alaska.