I think I understand your objection, but “left” and “right” are relative (a source can simultaneously be rightwards from you and leftwards from the average person in the country), one dimension is not enough to capture the nuance, and both “left” and “right” come in various flavors. If you try to sort all existing political orientations into two giant bags, inevitably each bag will contain things very different from each other. (Unless you define one bag as “people who agree with me” and the other one as “everyone else”.)
I think I understand your objection, but “left” and “right” are relative (a source can simultaneously be rightwards from you and leftwards from the average person in the country), one dimension is not enough to capture the nuance, and both “left” and “right” come in various flavors. If you try to sort all existing political orientations into two giant bags, inevitably each bag will contain things very different from each other. (Unless you define one bag as “people who agree with me” and the other one as “everyone else”.)