One of the reasons Cheney didin't want to run, according to Bob Woodward, was that a member of his family was gay and he didn't want some huge media expose. As I recall, that family member was actually his daughter. Anyway, I'm wondering how that might affect the election and how Cheney would explain his views on gay rights and the reaction from the Religious Right (Cheney supports gay rights, on marriage at least).
Actually, Cheney didn't really become vocal about his support of gay rights until early 2009. Prior to that, he stated he was against gay marriage and thought it was a state's rights issue. Granted, this position is not nearly as conservative as many members of his party, but it's still not a full endorsement of gay rights.