Emperor Evulz is always running a colossal Xanatos-Gambit, and generally goes about his goal like a Magnificent Bastard. The objective? Bring pain and misery to every possible being in the planet, all for his enjoyment's sake.
Double Subverted: Evulz is captured and explains the logical reasons for doing the horrible things he did... but towards the end of his confession, we find out his underlying goal: to maximize the amount of suffering he's inflicted.
Zig Zagged: Evulz cares for orphans deeply and loves them all, but still blows up orphanages because he loves to see explosions. However, he led all the orphans out first and that orphanage was an unstable building that needed to be demolished. Blowing up the bus all the orphans were on, however...
Averted: Emperor Evulz has a fairly logical motive, like money.
Enforced: "How do we make our bad guy truly evil? Let's make him a sadist!"
Bob: How does killing people at random accomplish anything? Evulz: Killing is evil and therefore evil was accomplished.
Invoked: Evulz doesn't blow up orphanages, but Bob mentions that he knows so little about Evulz that he may well do so.
Exploited: Emperor Evulz, a Chessmaster with a greater plan in mind, sets up a simple yet baffling crime as a distraction for his enemies.
Discussed: "How do I know if he's lying about why he did it or is just plain crazy? Sane people don't have goals like 'murder as many people as I can'; there's always at least some claim to the moral high ground."
Conversed: "Why does it seem like all of the villains in that show seem to lack a coherent motivation besides 'kill as many people as possible'?"
It goes to show how insane and messed-up Evulz is.
Evulz has no redeeming characteristics whatsoever that will make him justifiable and appealing to any faction, thus the heroes and well-intentioned extremists are free to team up and do whatever it takes to destroy him.