You know the Cons don't give a fuck about people protesting right? They've never changed course because of protestors, only legal challenges and the like. Protesting for the teachers will do less than nothing other than make it appear like you're doing something when you aren't.
There's no amount of protesting that would change their minds. Burn down a few of their cottages, homes and offices and I bet more would be accomplished. I've never even had a Con recognize that the points made by anyone are valid, regardless of the topic.
Strikes, and violence are all they'll respond to. Both of which will be responded to with violence from the boot licking pigs at minimum.