LOS ANGELES In celebrity-studded events this week, Gov. Arnold Schwarzenegger conspicuously advertised his moderate Republican credentials, signing Democratic bills to combat global warming and withdraw state investments from companies in war-torn Sudan. "Democrats and Republicans can work together," the governor told an audience in Malibu, trumpeting a central plank of his re-election drive. But a less-visible promotion was taking place, almost simultaneously. In a Republican-sponsored advertisement being distributed by telephone, Schwarzenegger is portrayed as tough and resolute on illegal immigration an issue with potent appeal among Republican conservatives. His Democratic opponent, Phil Angelides, is depicted as a softy. "It is...