I don't think the show is trying to convey that point, no, but Carol is definitely a self-centered, hypocritical asshole. Thing is, though, a whole lot of people (maybe even most people) are self-centered, hypocritical assholes. I quite like the fact that the main protagonist of the series is someone who was very much not cut out to be a hero, and who does what she does for completely ignoble reasons. I think it grounds the story and makes for complex characters; this isn't "Twilight" or one of the other YA fictions. It's convincingly real people put into a really fucked up situation and trying to understand it and deal with it to the best of their ability.
It's fair enough if that's not your bag, but I really like that about the show.