The false consensus effect is the observation that people tend to overestimate the number of people who share their views. In modern environments we also see growing evidence of greater polarization. For example, according to the Pew Research Center over the past five decades, congressional US Democrat and Republican ideologies have increasingly diverged, with an ever shrinking middle ground. This is appears to also be reflected among US citizens, with a "disappearing center" hastened by growing “anarchist” and “anti-establishment” ideologies. Many have speculated that this polarization is a global phenomenon. The question we pose here is how beliefs and network structure might interact to facilitate both false consensus effects and rising polarization.