Your views and the graphics you are posting are confusing authority with left-right. These are different dimensions. Not necessarily orthogonal, but different.
So . . . each persuasion has a position on issues (left-right) and also a position on the use of authority to govern.
You and your sources have confused left-right with the authority spectrum.
The communist and fascist nations of the 20th century were all highly authoritarian, but the fascists were on the right, while commies were on the left.
That's still simplifying things too much, but at least it corrects the major error you keep making.