I often suspect the mindlessness of the sheep is much overrated, folks will take so much only mumbling to themselves but saying nothing, push a bit harder and they'll say out loud but do nothing, harder again and they stand up and speak out and from there things can avalanche very quickly once folks realise they're not alone. This is a sleeping daemon in society, issues generations old and believed long forgotten can suddenly wake up and engulf those blinded by the arrogance of power.
Maybe but I think it's more likely that they will go to church Sunday morning and pray for divine intervention and do nothing.