[quote=@TheUnknowable]
[@Double]Having a noble goal but doing evil things to achieve it is an anti-hero, by your own definition.

Was George Washington an anti-villain?  He overthrew a government in his country for the sake of Freedom.
[/quote]

Anti-Heroes are Heroes who lack heroic traits, or do less than heroic deeds for a greater good. The difference is that an Anti-Hero will actually admit that what he does is wrong, and will often actively wish there was a better way. Case and point, Batman. Yes he works outside the law, naturally. But Bruce is constantly lamenting that he even has to do what he does in the first place, that he would like nothing more than for Gotham to clean up its act so he doesn't have to keep wearing the cowl.

And George Washington isn't even remotely similar to Anarchy. Yes, the Colonists overthrew the British rule. But they established an actual legitimate government in its place. What Anarchy is doing is not even close to the same. He overthrew the government and then proceeded to replace it with absolutely nothing. He even took it a step further and abolished all Police and presumably Military. Did he even stop to think about the economic repercussions of his actions? The guy literally fired [i]every single police officer and possibly every single soldier in service[/i]. That is hundreds of thousands, if not millions of people that are suddenly out of work and now looking for a new job. The economy is so fucked in that scenario. And I seriously doubt Anarchy can simply hire them all for his security company, no way. Not even Bruce Wayne is that rich. And what about Lexcorp? Since Luthor's gone his company is likely down the toilet, which means all his employees are now also without a job. There's a very high probability that Metropolis is slowly devolving into becoming another Gotham because of this.