The page also quotes:
" Then came the definition from Corey Robin's "The Reactionary Mind": to be on the right is to believe that some of us were ordained to rule and the rest to be ruled over, and that the world is only right when the correct rulers are enthroned. "
as well as:
"Today, I learned a new definition, courtesy of John Holbo: "Conservatism says the law protects in-group members without binding them; while binding out-group members, not protecting them." "
Not sure which kind of communist you are proposing, but these definitions both would both make any form of vanguardist ideology (inc. marxism, anarcho communism, etc) or ends-justify-the-means ideology inherently 'right'.