When I say cultural supremacy, I mean the belief that your cultural group is superior to all others, and so its needs are rightfully to be prioritized even over the basic rights of other groups. Even the worse woke mobs I've heard about aren't advocating that, say, it is rightful for a hundred Republicans to go hungry to feed a trans person better or something, so I don't think they check this box.
When I say rigid hierarchy, I mean an actual hierarchical organization where there are leaders giving orders and those below them executing and giving orders of their own down the hierarchy. There is nothing of the kind in woke spaces, they are in fact infamously sectarian and often spontaneously turn on yesterday's leaders for group think. So this box is also not checked.
Might makes right refers to the explicit belief that as long as I can physically force some result, it was rightful and beyond reproach for me to have done so ("I conquered this land so I have proved I am stronger than you so I deserve it more than you"). Antifa may believe that punching nazis is justified, but they believe it is justified because of the evils of nazism, not because violence is self-justifying. Similarly, wielding organizational power against an individual accused of wrongthink is not an example of might makes right, at least not as long as the wrongthink isn't entirely arbitrarily invented for each individual. An example from actual fascist organizations sometimes is culling "weak" members by hazing rituals, where emotional or physical violence is intentionally inflicted simply to see if the subject can withstand it (this also helps in building the rigid hierarchies I mentioned above, as it tends to eliminate people who can't accept arbitrary orders). Again, this box remains un ticked.
So no, I don't think any woke mobs I've heard about resemble fascist organizations. Which, again, is not to say they are good. Just because you're not a fascist doesn't mean you're a force for good in the world, it's entirely possible to be malevolent and dangerous without being fascistic.