I dunno, Jack does not push that button for me? He seems to be fairly content in the organization he's in (there's the time he was struck from the list, but I don't think he blames that on the navy itself), and Jack is not in general the soul-searching type, I think. I do love him dearly, though. ♥

Women are more often portrayed as pragmatists than idealists, and are less likely to be part of an institution.

Yeah, you're probably right that that's the reason women are more rarely written as this type of character.