1) Alas, I can asure you all too many are making that argument. They might not make it explicitly, but I have met many people who think they understand politics because they've memorized that graph, and those people really are whom I'm trying to reach here.

2) Use of authority in politics under a class society=use of state power, of social institutions of repression of one class by another. Only in such use can a programme cement and carry out itself. You mention anarchist Catalonia as an example of a "non-authoritarian" social order, leaving out that it of course crumbled the moment pressure was applied (because it refused to exercise authority through the use of state machinery).

3) That definitely is not the same point I'm making, no. In fact the point they are making is that they want a greater separation between the concepts of "rightwingness" in an economic sense and conservatism; I would suggest, and indeed I did in this essay, that they are wrong.

4) Here is your best counterpoint. Certainly there were, unfortunately, homophobic attitudes in the USSR. I would suggest, though, that what these essentially were were remnants of bourgeois culture, even if they were disguised as the opposite.