I'm afraid I haven't seen that word used to refer to such people, but from what you say, I can't tell whether you're speaking of enlightened, unionized workers, or about sheeple wage slaves being weaponized by their masters against each other. IIUC the latter is the one that fits better "normal working class people", but you seem to suggest that 'woke' would apply to the former as well (instead?)
not a native speaker here, rather someone who's often made incorrect assumptions about the meaning of words I've only seen in specific contexts online, who's often been surprised when finding out the guess was wrong, and who's now expects to find out about more of those ;-/ so please bear with me, and, as far as I'm concerned, feel free to have however many breaks you can ;-)