I think Rudy will assume his WOT stance (+ the anti-Hillary vote) will keep the right in line (after all, he’ll have won the primaries, right?)
He’ll reach left to take as much of the ‘center’ as he can from Hillary, and trust the right has no where else to go.
That's the normal approach, the Republican gets the nomination by pandering to the right, then runs to the left. But Giuliani is already in the center on many issues and won't have to run there, so he will have to do the reverse and run to the right to keep it's loyalty.