Um, you do realize that they made the graph have two axes on purpose, yes?
You can't just randomly remove one axis, because that makes the whole graph useless. By doing so, you are grossly distorting what the graph is saying, and thus what the creators of the graph are saying.
These graphs combine two different parts, the economic and the social one. Neither on their own defines where someone is on the right or left, even if they used the words left and right for one of them for a completely unknown reason. The whole things was made up to get away from the simple left/right split that some people were using, because that didn't always paint the whole picture. By simply throwing out everything the graph tries to represent, you are invalidating the whole thing, rendering your entire argument void.
Even if you could take just one axis from the graph and keep it working - which again, you can't, because that ruins the purpose of that graph - the whole idea of being to the left/right of someone else making the person left/right would still be absurd. Kim Jong Il was a hardcore-communist, yet he is firmly to the right of Stalin on that graph, that doesn't somehow put him on the right.
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