"SOCIAL JUSTICE FASCISTS"
The farther to the left a group is, the less likely they are to attempt to brand themselves with a name or to be recognized by their actual underlying principles. (Instead, they will march under a banner of some issue as if it were everyman's issue). They want their underlying motives to stay hidden - at least that's so for those who are aware enough to grasp that principles exist.
Progressives a generation or so ago, started calling themselves liberals, a label they stole from the classical liberals who were opposed to big government's oppression of the individual. After 'liberal' had become perjorative (exposed), they picked the old term, "Progressive," back up since enough time had passed to have cleansed the cultural memory. In time I suspect they'll shed that'progressive' label like a snake sheds its skin and find some new label to hide under.
The anarchists that marched in the streets of Fergusson and in the Occupy Wall Street demonstrations in New York, and in Greece, and many other events, are identifiable by the Guy Fawkes mask they like wear. It conceals the person's identity, but if that mask becomes too recognizable as a symbol for nilism, they may change that. The heart of a lie is its need to stay in the dark.
The 'intellectual' progression that has lead to these "social justice warriors" is such that I don't expect them to have a name for themselves (at least not one that is tied to their underlying principles) - they are at a point where they don't want to have an identity. They are about the angry destruction of things behind various rationalities (any of which will do: inequality, white privilge, global warming, etc.) Labels distract from the naked exercise of angry emotions as a political tool.
The barrage of profanities in that video was off-putting, but it didn't obscure the message which still could be examined. I might not like the style of a presentation, or the grammar, but my first concern is about asking, "what is the message?"
I suspect that there will be a number of labels that appear as these people continue their protests, as long as they are having an effect. They might want to reject any label, but the human need to conceptualize will prevail. The label 'social justice warrior' is better than other labels I've heard so far (like for those protesting against being offended: "little cupcakes" afraid of being offended, or when they demanded 'safe spaces' and the resignation of officials: "pantywaist fascists")
If I were to chime in on a label, I'd make a change and call them "Social Justice Facists." The only problem with that is that "social justice" is an anti-concept... so the label would still need some work.