I think the true cognitive dissonance is the extremely strong faith in 2023 by so many in humanity who believe you can divide every single topic into "liberal vs. conservative". You just can't escape this bipolar thinking pattern, it's everywhere. A faith bigger than any classical religion.
I honestly don't know how to answer you. You are mixing now "liberal" in posting topic with "right wing" in comment. "I know" that I said "liberal vs. conservative", you start going "left wing vs. right wing" and you get an entirely different set of nebulous faiths people have about the meaning of those words and their importance in viewing/interpreting the world that way.
As a human thinking system, all I see is people constantly hammering it as a be-all-end-all measuring stick. That is left, this is right, that is conservative, this is liberal without any true reasoning behind it as to why measure things this way.
Which great teachers said you should divide all interpretation of the world into this? I'm from the USA, and the Constitution sure doesn't mention "left vs. right" or "liberal vs. conservative", and the Founding Fathers of my nation did in fact educate a division via the Great Seal, front and rear, new world order vs. old world order. The Enlightenment (science) vs. classical mythology (superstition).
It's like some runaway meme of cognitive dissonance to have this divisive faith systems. Left vs. Right seems to me to be exactly superstition!
I am also fully self-aware how popular that this is and that I'm pissing into a wind of extreme acceptance of this division. The map you show to me is an illustration of why it is a overused way of thinking. /rant