Cults operate differently - it's not what they believe, it's how they behave in the world. Not saying wokeism is a cult at all, but that religious cults often have Good Well Intentions. Precepts don't make a cult.
(A healthy religion encourages love and tolerance to those in the outgroup e.g "love your enemy")
But it's good that "people different than you" is mentioned when it comes to cults, but it's the other way around. The group is often labelled as different before it's labelled as a cult.
One way to quickly determine if something is a cult or not is if they have isolated themselves from the world, or if it's just those outside people saying "they are different from us".
Conspiracy theories are quite common in cults as it's one way for people to define an us/them idea which isolates the in group. In wokeism the theory could be that the outgroup is a conspiracy of crypto-fascist white supremacists. In trumpism the theory could be that the outgroup is a conspiracy of cultural marxist disruptors.