My friends always assure me, when I talk about the stigmata of the Left, that there must be something comparable on the political Right.
The basic assumption is that Left and Right are a single dimensional line.
I am here to disabuse you of that nonsense. Hitler and Stalin are not on two different ends of the same line. Stalin is clearly on the left. Hitler called himself a socialist, believed in strong centralized government with government control of capital investment and five-year planning. That does not put him on the opposite end of a single dimensional line. That puts him on the same side as Stalin. Both killed innocent humans to further their ideology in vast numbers.
In fact, I would argue that the Left is much more homogeneous and well described by a one-dimensional line. The line goes from weak central government with capital controls such as France to countries with a great deal of central planning such as Stalin's and Mao's 100% central planning and still further to the Left the Trotskyite revolutionaries and the North Korean tyrannical extremists.
On the Right-hand side of the line I find no coherent political group. There are, in the United States, moral right-wingers such as Pat Buchanan who opposes abortion and hates Jews, and Ron Paul who favors the gold standard and no foreign aid. In the same cluster are the traditional conservatives who favor business, lower taxes, smaller government and free trade but have no stance on moral issues including gay marriage. It is hard to see that the Right, as a cluster, has anything in common.
It is even harder to see how the Right could be put on any uni-dimensional line representing any coherent value system. Many Righties favor abortion and gay marriage, many oppose them. All Lefties favor them.
There is no Left and Right. There is a Left and there is a pro-commerce world. Separate from all of this is a moral dimension that is in a different geometric space.
(I recommend the interesting comment by Dvid Boxenhorn below.)