Steve Kenson has pointed out that ICONS Adversaries already contains two organizations for your gaming pleasure: Legion (your terrorist organization bent on world domination), and the Shadow Guide (your criminal organization that's behind so many things). So my organization will be the one with the costumes and the one that subtly pokes fun at certain excesses of the business world.
Henceforth, it will really be called SKULL, which doesn't stand for anything, it just has a good marketing vibe (as suggested by Henry de Veuve). So SKULL will be the guys in the bright costumes.
Thanks to Henry and Steve for pointing things out to me.