"Liberals prefer nanny-stateism and rely heavily on the state to raise their children. Conservatives are mostly opposed to nanny-stateism [..]"

One thing I've also noticed about conservatives vs progressives is that the former are willing to believe all sorts of silly things about the latter .. of course we have our unfounded assumptions too, but the honest truth is that I far more often see conservatives ascribing denigrating characteristics to progressives than the other way around, usually in a (risible) attempt to discredit progressive arguments. 

If I were to attempt the same, I'd venture that the average conservative has a stronger tendency toward groupthink than the average progressive. Yes, progressives practise groupthink too, but we're also (by definition) less invested in maintaining the status quo .. which seems to scare conservatives into lashing out with silly rebuttals like "nanny-stateism".

Doesn't matter; we're still progressing--if a bit slowly.