What definition do you use? I don't think people arguing woke = religion are necessarily deriving that conclusion from a rigorous first-principles definition of religion. It's more like a collection of observations that sum up to a suspicion:
1. Woke people think that white people are born into sin due to the deeds of their ancestors, which is the doctrine of original sin.
2. This sin can be cleansed by becoming an "ally", "doing the work" etc, this is a bit like conversion.
3. Related: this notion that people are born pure and it's police/law (society) that corrupts them, so if you get rid of the police then crime will go away, this is like the Christian teaching of the Fall.
4. Trans stuff is an assertion that people have a sort of (gendered) soul distinct from their body.
5. The obsession with the virtue of minorities is similar to the story of the Good Samaritan and how Christian's are supposed to valorize the meek and the mild.
and so on. There's more of these especially when you get into their actions and not just beliefs, which yeah, do start to resemble Spanish Inquisition albeit with less physical torture thank goodness. So it's a walks like a duck quacks like a duck argument.