The 'libertarian-authoritarian' axis is the greatest libertarian propaganda trick of all time.
How would you change it when taking more socially conservative and more socially liberal people into account?
As PJ has said, the very idea that you can accurately represent ideologies on a chart is itself the problem. Ideologies are not points on a spectrum (be it uni- or multidimensional), but rather internally consistent paradigms which, although they may (and do) influence each other, are theoretically independent from each other.