A major Christian Right organization is calling out Republican California Gov. Arnold Schwarzenegger, the latest broadside in the post-election battle for the soul of the Republican Party and a clear sign that the culture war might be shifting back to the states.

The Family Research Council’s latest Action Alert urges social conservatives to contact Schwarzenegger’s office directly and tell him to terminate his “inappropriate post-election behavior” regarding the passage of California’s controversial Proposition 8 that bans same-sex marriage.

Schwarzenegger opposed Prop 8. After the election, he said he hopes the California Supreme Court will overturn the ballot initiative. He predicted that the 18,000 gay and lesbian couples who have already wed would not see their marriages nullified by the initiative. He encouraged Prop 8 opponents to protest “until they get it done.”