I thought this was going in an entirely different route.
I was thinking more along the lines of Muslims taking a much more substantial piece of italy, maybe all of peninsular Sicily (Naples) or even into Central Italy and the effect that would have on any reclamation efforts should anything similar to Crusader states come up following the wars.
How that would affect the Papacy, Roman relations with the west, schism, that sort of thing.
To answer your question,...I dunno.