The antonyms for the phrase "more wrong-headed" would be "right-headed," meaning sensible or rational. Other antonyms could include intelligent, logical, wise or astute. The phrase "wrong-headed" refers to behaviour or beliefs that are misguided, ill-advised or foolish. So, to find an opposite of this would mean finding terms that represent the opposite of these characteristics. For example, "wise" refers to a person who is knowledgeable and experienced, while "astute" means perceptive or shrewd. Ultimately, finding the right antonyms for "more wrong-headed" would depend on the context in which the phrase is being used, as well as the tone and specific meaning intended.