I read your statement, and checked online. My brief search showed only a satire site claiming that Cheney supports Obama care (and that he volunteered to be on a Death Panel and would supply waterboarding equipment.)
Absent a credible source to the contrary, methinks it's just a humorous claim on a joke site.
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It was on Free Republic today: <a href=”http://www.freerepublic.com/focus/f-news/2651685/posts"; (Cheney is supporting the author of Obamacare for head of the RNC)