The great French philosopher Jean-Claude Michéa noticed the left-wing mistake or lie, when they call the capitalist system conservative. Capitalists hate local traditions and nations. It's the party of movement and progress aiming at a man without cultural background and cultural ties. The founding fathers of liberalism (Smith, Ricardo, Tocqueville, etc.) were considered leftwingers in them days. The founding fathers of communism (Marx & Engels) considered themselves neither ... nor ... And in recent years, it's rather telling that leaders of two influential international institutions were - at the same time - two French "socialists" (DSK at the IMF and Pascal Lamy at WTO but now DSK has other occupations
). They were actually typical leftwinger but no socialists.
i don't think it's fair to say that "capitalists hate local traditions and nations". they just don't normally consider them in their so called technical analysis and choose to focus on the decisions and freedom of the individual in particular. i'd say that in modern times this is a typical behaviour of all right wingers -not just the purely capitalist ones, or libertarians as some call them in the USA- as opposed to left leaning blokes who tend to center their analysis on society in general.
then again, i do agree with your main idea but that depends on what we understand for 'capitalist system'. in its pure form, and much like communism, capitalism has never truly existed (maybe with the exception of medieval iceland being a notorious case of study). what we have today is a system that badly approaches to it and fails when we consider the size of the state and all of its tools to run the economy. in most cases, be it in europe or the USA (but more in the USA), the rich end up more protected than the poor. if that's what we understand today for "capitalism system", then it is evidently an idea extracted of the right wing agenda.
as for libertarians (or semi-pure capitalists, whichever term you like best), i mostly see them as clueless. i don't think they fully grasp the complexities of the world's markets and how badly things would be if some of their ideas were implemented. i wouldn't tag them as right wingers, though.