Hmmm... weird, because my daughter, though never living with her bio dad... is still much like him. BUT, her morals and her character are not! (Which is a good thing, from my perspective :)) So, I think you instill their character and morals much more than their traits.
She's for sure, head strong and in your face, like her dad. Hopefully we've pruned her personality a bit, so this will be to her advantage! :)