He’s unacceptable to a lot of libertarian conservatives, too.
Ok so Giuliani doesn’t appeal to some libertarian conservatives as well as social conservatives. In other words he doen’t appeal to the far right and the far left of the republican party. Who do you think has a better chance of holding the party together and seeing it through to a general election victory? Someone on one of the ends of the republican spectrum or someone in the middle like Rudy?