Very nice voxel art! Clever way of implementing censorship, too, with the hand of oppression squeezing discussion bubbles. The squeezing looks and sounds great.
You've said you didn't want to encourage a particular goal, but what if the goal was randomized? Each game you'd be tasked with "encouraging" the populace to adopt a different set of beliefs?
I checked the billboard pretty frequently, but I didn't feel a strong connection between the billboard and the discussions I was squashing. It might help to have an indicator for opinions that are beginning to change.