This typeof interaction and propagation of ideas seem like great candidates for agent-based modelling and simulation, with NetLogo for instance. A simple model of personality (simplified Myers-Briggs?), a faithful representation of a continuum of ideas, an individual affinity function over that continuum that depends on personality, and a model of communication...
Probably more likely that people who hold a strong opinion either way tend to be the most vocal. People who haven't decided or don't have a strong opinion stay silent.
Then, as a result even those who don't voice an opinion or haven't formed one are likely to read the perhaps lopsided information presented and takes a side based on that.