Maybe the prospect of facing a primary might deter him from running again.
No, that won't deter Schwarzenegger from running again. The GOP is now solidly in his corner, and he knows it. My goodness, he delivered probably the best speech of all at the Republican Convention!
The national GOP, perhaps, and maybe even what passes for leadership in the CAGOP. But the people I know at the grassroots are deeply disappointed in our governor. I'm talking about the people who are volunteering right now in local Bush-Cheney/Republican Party HQ's to try to elect Republican candidates. They've gotten zero help from the governor, and they won't forget.