you know how superman is called "the big blue boy scout" sometimes? because he's so good and honest and whitebread,etc?
Carol is not. She's an alcoholic with serious anger issues. She also has no problems whatsoever with killing people. She doesn't most of the time, because that's what is expected, but if you piss her off, she'll stop caring and become the murdercarol we all love. Also, she loves to fight. It's subtle, but it's definitely there. Look at some of the pages posted in this thread, where she was murdering dozens of Skrulls with a huge smile.That's someone who's got some serious repressed bloodlust.
In normal mode, she's about superman level, perhaps a tad less. if she absorbs enough energy, she can boost to a whole new level -- "Binary". Binary is far more powerful then superman. In Binary form, Carol has flown between stars without a ship, no longer needs to eat, drink, or breathe, has flown through stars unharmed, and nearly genocided the entire Brood race, blowing up their homeworld in the process.
Putting it all together: a mentally unstable alcoholic with rage issues and bloodlust is powerful enough to destroy the entire solar system. She tries to keep herself in control, but doesn't always succeed, because she doesn't always want to succeed. That's why I like her.