The antonyms for the phrase "throwing in lot with" are disavowing, disowning, repudiating, and rejecting. These words signify a deliberate act of separation from a group, idea, or belief system. Disavowing means to deny any association or responsibility, while disowning means to renounce ownership or connection. Repudiating is similar to disavowing, and it implies a strong rejection of something. Rejecting means to refuse or decline something completely. By using these words, we demonstrate our dissent and disapproval of a particular cause, ideology or group, and choose to distance ourselves from it.