The above chart as of yet makes little meaningful sense to me. It depends on how all of those terms are defined, which the diagram offers no insights into this. Could you define 'Libertarianism' and how that is supposed to work with 'authoritarian'?
Please give me a home where cloud buffalo roam
Where the dear and the strangers can play
Where sometimes is heard a discouraging word
But the skies are not stormy all day