Uh, ok. This is just wrong.

Take California's recall election as an example. More often than not, California Republicans generally endorsed freakin' ARNOLD! It wasn't because they thought Arnold best exemplified Republican values, it was because they thought he was the most electable Republican and they wanted a Republican in office. Period. Otherwise they would have voted for Tom McClintok.

And this is common. Most candidates elected in primaries are not "hardcore party liners", but slightly more towards the center, because A) many registered members of any political party are often more centered than their passionate spokespeople and because B) the more centered person is seen as ultimately more electable in the long run. Granted Giuliani is more center than most, but the support he could draw from Democrats and Independents I suspect would more than make up for any lost Republican votes.

Also though, there are a lot more swing voters/independents than people realize. A strong personality that can garner a lot of bi-partisan support is a HUGE asset in a candidate, assuming s/he's right/left enough to surrvive the primary.