Batman is basically an old-fashioned monarchist, with himself in the role of monarch (“Gotham is MY city, punk!”).
Superman probably considers himself outside of political boundaries, seeing himself as a humanitarian. He wants to help people, and he wants the whole world to be bright and shiny and safe.
But he also has a strong tendency toward conservatism, as seen in his mindless acceptance of established social conventions.
As Batman said in “Dark Knight Returns”, Superman pretty much instinctively believes anything he’s told by someone waving a flag or wearing a badge.
Spider-Man is probably fairly liberal, except for the whole “responsibility” bit. He grew up in semi-poor, working-class circumstances in New York City, after all, and then went on to spend his time with media types and ivory-tower intellectuals.
Green Lantern (Hal Jordan) basically thinks like a cop. He’s a member of an armed, uniformed policing organization with a strong authoritarian structure. He was a test pilot (and presumably military pilot) before that, indicating an orientation toward discipline and order. He has compassion for the underdogs of the universe, but he seems to thrive in a world of rules and structure.
Wolverine is a savage… they don’t HAVE political orientations. He fights for his pack, and everybody else can go to Hell.
The Punisher is indifferent… his life will be outside the law, no matter who’s making the laws, so it makes no difference to him.
Wonder Woman is a monarchist… her mom is a queen, after all.
Aquaman is a monarchist… he’s a king!
Iron Man is probably a “limousine liberal”… wants to hang on to his OWN money, but perfectly happy to use YOURS to pursue various social ideals. (like cleaning the rummies off the street?)
Thor is a monarchist… his dad’s a near-omnipotent being!
The Hulk is an anarchist… nobody personifies “do what thou wilt” quite like ol’ Greenskin!