I don’t disagree with the facts you stated but still I can’t see how he isn’t a companion and supporter of Ali ( albeit unfaithful as noted by me above ) when he is a active participant in most events of his caliphate
maybe you are biased against shabath as he said “ a whole army of Iranians is standing in front of us and you want me to recite Surah Baqara in prayers ?” When he was admonished for short prayers as a leader. He was prejudiced against Iranians though so I see why you abhor him so much brother
my point is he is a complex personality, lots of grey areas in him not straight foward all evil like muawiyah and Aisha
btw mukhtar was not all the rage with Arab Iraqi Shias either , his bulk of supporters are Iranian Shias even his few Arab Iraqi supporters like abu tufayl (رضي الله عنه) seem to have left him in the end as he lived to the ripe old age of 100 well into the period of zubayri Iraq.