CNN

WASHINGTON (CNN) - California Rep. Duncan Hunter said Gov. Arnold Schwarzenegger, his home state's popular governor, is not a good model for the Republican Party.

"I think the guy who's got the most influence right here with these three gentlemen is Ted Kennedy," Hunter said in reference to fellow candidates Mitt Romney, Rudy Giuliani and John McCain. Hunter concluded, "I think we need to move away from the Kennedy wing of the Republican Party."

Schwarzenegger won support by bringing both sides of the aisle together on certain issues. But Hunter criticized his Republican rivals who have partnered with Democrats on issues like gun control, health care and immigration.

–CNN Associate Producer Lauren Kornreich