In California, she might be able to get away with it.
"I am pro-choice, and while I would like ... to bring down the number of abortions in America, I don't think we can take choice away from women and their partners and doctors. As long as abortion is legal, it has to be made available to women of all means."
She also supports the Second Amendment but California's unique conglomeration of Fresno, Modesto, and Stockton (paraphrasing there) makes handgun restrictions "probably the right thing" for the state..
While conservatives in CA will be disappointed, there are only two left and one's named Tom and the other, McClintock. Otherwise, Whitman's combination of social left and conservative right makes her a fairly electable candidate.