I don't know much about marvel besides the films, where Iron Man is easily my favourite, as he has the most interesting stories and the most interesting personality and view of the world imo. I always liked Gambit, Storm, and Jean Grey from the X-Men animated series I used to watch, though Wolverine overshadowed that massively. Having read civil war and the infinity wars books recently, I really liked Cap in the first and Dr. Strange in the other. The latter was really new to me and seemed like serious business at a really high level of play without being simply powerful in a death and destruction kind of way. Though my choices now don't really reflect it, I generally prefer heroes who have to struggle and do so through rationality and justice.
As for the remark about there being no right-wing superheroes - the super-hero is at his or her very core a response to the failure of the state to regulate society and denies the applicability of the state's monopoly of power to the individual's actions, either implicitly or explicitly. In that, aren't most superheroes very broadly "right-wing" in the liberal sense of that pov - they fight as individuals against the world. Since superheroes always act in areas where the state/normal people fail, however, they can't ever be liberal in the extreme sense, that would be more villain terrain, as conservatism equates to protecting the strong and giving the weak the potential opportunity to become strong as well, which is something the world does already by virtue of Darwinism. Maybe you have to be US American to really understand the remark, but to me it seems that comics that address state control of super heroes as in the xmen and civil war certainly go in the direction you described to the extent that super-hero comics as a genre can.