Greig's comments come as the California Republican Party is trying to reboot its image after years of election defeats and registration declines.
The party has dropped below 30 percent in voter registration, does not hold a single statewide office, has less than one-third of the seats in the state Legislature and does not yet have a credible candidate to challenge Gov. Jerry Brown when he is up for re-election next fall.
Public opinion surveys show Republicans are consistently in the minority on a range of social issues supported by a majority of California voters.
Greig did not immediately respond to a telephone message and email asking whether she would like to elaborate on her comments to the newspaper.