The phrase "most jibing" means something that is in agreement or perfectly matching with something else. The antonyms for this phrase would be words such as conflicting, divergent, opposite, dissimilar, or incongruous, which indicate a lack of agreement or harmony between two things. For example, two people might have conflicting opinions on a certain topic, meaning that their ideas don't align or match up. Alternatively, two colors might be opposite each other on the color wheel, indicating that they are completely different from one another. In general, antonyms for "most jibing" imply a lack of harmony or similarity between two things.