Near as I can tell, the number one way people stereotype the other side is by saying those people stereotype us all the time. Everyone knows that the country is too divided--and we all know the people responsible for that division are those motherfuckers on the other side!

(Not to say that there's total equivalency between positions, I do actually think one is much less empathetic than the other and centrism isn't automatically smart, but it's been interesting to notice.)