Before Calciopoli it wasn't. After Calciopoli things just couldn't be controlled between the two(before they stole our Scudetti we didn't even considered them as title rivals for us). It's like what Altobelli on Al-Jazeera sport once said, they're not from the same city but things couldn't get any worse between the two clubs, the Iuliano-Ronaldo incident also has something in it but Calciopoli was just the real flame hate between the two. Specially when the likes of Morattopoli claim that they deserved the 05-06 Scudetto.
To Juve, fans, board and everyone (after calciopoli) of course Inter are considered an enemy more than a rival. Just listen to Cobolli's words last year, Blanc's aswell. Del Piero and Buffon on Calciopoli had their words many times.
Calciopoli includes politics, corruption and faking orgasm and everything dirty therefore it will never be repaired again