The phrase "haddest to do with" represents a sense of involvement or association with something. Its antonyms would signify a lack of relationship or relevance. Possible antonyms could include words and expressions like "unrelated," "distant," "unconnected," "not involved," "not associated," "irrelevant," "inapplicable," "immaterial," "incidental," "extraneous," "remote," or "removed." Using these antonyms, one could convey the idea of detachment, independence, or insignificance regarding a particular matter. For instance, one could say, "I can assure you that your opinion is not irrelevant to me, and it has nothing to do with what I had to do with that project.