I think the "problem" with Captain America is that the whole premise is that he's already the man he needs to become. "Don't stop being what you already are- a good man."
I think a lot of the problem is we've gotten so used to all of this character deconstruction style that people think it always has to be that way. I think you can test a character's convictions and show that he knows who he really is and likes being who he is.