In yet another, Schieffer – Cheney interview, the mother of five said, "if you switched around the designations in the quote, you know somebody's career would over."
The Sotomayor quote in question came from a 2001 speech where the court nominee said, "I would hope that a wise Latina woman with the richness of her experiences would more often than not reach a better conclusion than a white male who hasn't lived that life."
"I don't think there is place in this country for that kind of a perspective," Cheney said, noting that President Obama himself advocates against racial preference. "I don't think we should be thinking about how judges reach determinations and reach decisions and making assertions like somebody from one ethnic group is going to be a better judge than someone from another ethnic group."
Cheney admitted that it is politically probable that judge Sotomayor will be confirmed this summer to replace Justice David Souter on the bench, but she made clear that she will receive tough questioning.
"It is not something that I would have said," she said. "I am sure that the judge will have to explain it in her confirmation hearings."
Lately, Ms. Cheney has been an advocate for her father but in the future would she consider running for public office, as some conservatives have suggested?
"I don't have any plans right now but it is something that I think about and maybe one day -- we will see," Cheney told Schieffer. She has five children and is helping her father write his memoir.
While she and her father may share a political ambition, what they do agree on is that Rush Limbaugh is more in "line" with Republican values than former Secretary of State Colin Powell.
The question was first asked to former Vice President Cheney on "Face the Nation."
"Rush really does line up more with where the Republican Party has traditionally been," she said.
Watch this interview below as well as a debate on Sotomayor's confirmation and an interview with the Council of Foreign Relations President Richard Haass: