Twenty years ago my response would have been "impossible" when asked what Juve's odds are of overturning the verdicts given who holds the cards in Itlay. You have to understand two important things though.
Times have changed and the internet has allowed us all to see what happened. If this happened in 1986 instead of 2006 only the lawyers would have seen the sentences. Thanks to technology word got around (and I'd say rather quickly) about the inconsistencies of the trial.
Second thing to consider is that the appeal (thanks to Italy's membership in the European Union) is being carried out (intentionally) outside of Italy where the corrupt will have less chance to pull their weight. Furthermore by appealing in a court of commerce as opposed to a sports tribunal, they have further detached the powers of Italian soccer from the trial.
Now I'd say the odds are actually good. I'd argue even in our favour.
As far as shaking the reputation of the world's biggest cheaters...good luck. The press has established a predetermined idea in most people's heads and is continuing to do so in the post calciopoli era (see article
http://goal.com/en/Articolo.aspx?ContenutoId=440820 for examples). Unless these papers (Gazzetta and Corriere) are dismantled and the TV in Italy is modified to include stations other than those run by the Berlusconi owned Mediaset, I'd say that those who want to believe Juve's success can be attributed to cheating will continue to hear/read what they want.
It's up to us to show objectivity.
BTW thanks JuveAdam