But it's difficult to choose whether the correct reversed stupidity in politics should actually be libertarianism or monarchy.

It's worth pointing out that modern politics (especially American politics) is so jammed packed with opinion and false equivalencies (gay marriage != immigration amnesty) that it has many more than just two reversals. But I see your point, which is about LW politics and socialization specifically. Given that weakness for clever contrariness, perhaps we should focus on the wide expanse of ideas is a good way to confound tempted readers?