I am what you would call right of centre, a right-wing social democrat. Bit vague, and don't feel like going into it now, but a summary which will do for now is this:
1. Market-mechanisms are undoubtedly the best means of allocating resources. Where socially desriable outcomes (a subjective issue) are not met by the market, the optimal strategy is to design a market by fiat where shadow costs or similar reified concepts can be traded.
2. The market is often not, in its current state, the optimal place for looking after the disadvantaged, for providing justice, education, health or defence. But market mechanisms can often (but not always) be harnessed to provide some efficiency to goals that are viewed as desirable.
These are technical issues. They are about how to achieve something, not about what is right. So that is what many people would call right-wing. But I have a social conscience, and so there is the social democrat side of me.
Often I find myself arguing pro-left points of view not because I necessarily believe them, but because I find myself talking to someone who takes their right-wing point of view as a religion, rather than a debatable topic. Just because I disagree with you in words does not mean that I actually disagree with you.
Anyway, communist murderers is what I wanted to talk about here. I cannot be as erudite as others have been, so instead I will cite a few references:
1. mass-murdering communists, with particular reference to Che Guevara.
2. 180 documented victimes of Che Guevara in Cuba.
3. Che Guevara - just another dead thug.
4. 216 Documented victims of Ché Guevara in cuba: 1957 to 1959.