Former California Gov. Arnold Schwarzenegger believes there's still a 'home' for him in the Republican Party, but says his state's GOP has 'done a horrible job'

• Schwarzenegger told The New York Times Magazine there's still a "home" for him in today's GOP.
• But he was critical of the California Republican Party, which he said wasn't listening to citizens.
• "When you're in the Legislature, you're not supposed to represent only your district," he said.

In 2003, Arnold Schwarzenegger did something that seems nearly impossible these days: He was elected governor of California as a Republican.

Schwarzenegger, who had been an international film star for years when he first ran for office, ousted then-Democratic Gov. Gray Davis in a stunning recall election result that dramatically reshaped politics in the Golden State.