As misguided as Gov. Schwarzenegger's choice of words was, I don't think he should apologize to California democrats for calling them "girly men". Nor should the Dems be upset, IMHO.
News commentators have rightly noted that the phrase "girly man" was actually an invention of the old Hans and Franz sketches on "Saturday Night Live", in which Kevin Nealon and Dana Carvey vowed to "pump (clap) you up" while preening in front of riduculous looking cardboard cutouts of Arnold at his beefiest.
Schwarzenegger is just riffing on himself. Everyone else just needs to drop it and get on with their lives.