One that pops to mind for me is Francis York Morgan, an FBI agent, and the main character of the "horror" game Deadly Premonition.
He's an eccentric, but nice, character who has an imaginary friend he talks to named Zach who helps him solve crimes.
He seemingly only solves serial murders and not assassinating leftist leaders...as far as we know..
It's not to say that I like Judge Dredd, but I do like the comics' satire on Thatcherism, and Dredd himself is definitely not a good person, but he's definitely a compelling person. Plus the fact that the comic series has never ever rebooted itself like a lot of other comics means that every crazy thing that ever happened in the comics is canon. Maybe it's more that I like the series he's from more than the character.