Antonyms of the phrase "throws in one's lot with" would suggest actions that involve distancing or disengagement from a particular cause, group or individual. These may include words such as "renounces," "withdraws," "severs ties," "separates," "abandons," or "disclaims." Each of these antonyms suggests a deliberate act of separating from one's current associates or affiliations, particularly if they are no longer in line with the individual's goals, principles or beliefs. The use of antonyms such as these may imply a sense of independence, autonomy or self-awareness that is not present when using the original phrase.