Actually he has the best chance for both of any candidate. And he can win over many of those opposed to him for insubstantial reasons. Fanatics won't support him but they are a tiny minority of the electorate. For every "social conservative" who goes off in a snit two others will take their place.
Actually I think Guillani will get little support from most mainstream conservatives.
When people like the limp-wristed jack@sses at the NY Post write these columns about the strong chances of some "moderate" Republican on a national level, they base their analysis on the implicit assumption that these candidates will appeal to moderate voters from both parties. There is no historical basis for this, as the appeal of these candidates diminishes substantially once they are no longer hypothetical candidates and they are subject to the close scrutiny of a national campaign.