I think "anti-cult" may bring up images of "opposite of a cult" which isn't quite what we want. "Hate cult" might be better, a cult built around the hating of a person or idea instead of worshiping it.
Hmmm not really what I'm going for. Need a more technical phrase for it, and using the word hate in regards to an individual rather than marginalised groups is just going to immediately create resistance.