I see a lot of people that want certain heroes to fight for social justice or hate corporations or whatnot. I think that works well with some heroes (though how they are actually supposed to fight for that in an action-packed way or whether that's supposed to be personal actions outside of heroing aren't always clear), but is completely contradictory to established personalities for other heroes. But then I thought what are some ways that heroes you like should disagree with you and that you think have at least some speck of basis in canon (they vary and even contradict a lot over time, so there's room to work, I think). The key is it has to be character you like, not one you just want to be insulting towards. For instance, if you think cannabis (or all drugs) should be legal, what heroes do you think should have a tough-on-drugs approach? Who do you think should favor more or less gun control than you do? Who is more or less religious than you? Who just doesn't really care about politics or even political corruption, if that's something important to you? And so forth and so on.
Not all superheroes are particularly vigilante-ish (I mean, terms of dealing with any sort of real-world crime). But several are, and some of those I think are likely to favor are more likely "tough on crime" approach, or even punishment over rehabilitation. Particularly for crimes where innocent people are killed or even physically harmed. And, if they aren't hypocrites (and some are), they aren't likely to be fussed about warrants or police brutality (at least against actual criminals).
Another thing is, of course, heroes change with the times. There are things that were once mainstream ideas that are now very right or left or even fringe. I think most heroes - not all, but most - are best served by keeping in the same place relative to the mainstream. And since most DC heroes are American, that's relative to US for most of them. This, of course, only applies to heroes where any of their political beliefs are important (which isn't really most) and then only to the areas they are important in. For me, one I struggle with is Green Arrow. He's actually been a very politically minded/representative for a long time. Him actually running for office and having one as he did would be fantastic, IMO, if it weren't such a stupid thing for a character with a secret identity to do (I like him with a secret identity). But I don't think he can do both believably, and reading a hero is more fun than reading a politician. But for me, once that comes up is drugs, and the changing public perspective on them - from legalization to treating drug addiction to a public health issue. Are dealers the friendly neighborhood businessman who help people avoid ridiculous laws or parasites preying on the community or does it depend what they deal? Have any comic characters ever had the viewpoint where some currently illegal drugs should be legal and others not? Ollie's traditionally been liberal and liberals seem more likely to be against GMOs (not just from a business perspective, but from a safety perspective). I don't agree that GMOs are inherently dangerous (monocropping much predates GMOs, so I don't blame them for that), but maybe Ollie should? But anti-vaxx used to be at least a trope about rich, liberal, west-coasters, and I just never have Ollie be that anti-evidence.