The phrase "flies in the face of" means to go against, contradict or defy something which is considered to be widely accepted. The antonyms for this phrase could be words such as conform, adhere, endorse or support. Another set of antonyms could be words like reconcile, harmonize, agree or unify. These words signify a sense of agreement, similarity or compatibility with the dominant belief or opinion. The phrase "flies in the face of" could also be challenged by words such as accommodate, adjust, compromise or negotiate, indicating a willingness to find common ground or a mutual understanding, rather than outright opposition or defiance.