The developers of Infinity Blade II have released an update, patching crashing issues with iPad 1 and iPod touch 4th-gen, as well as general stability updates and bug fixes.
Unfortunately, the update does not appear to fix the Game Center sync issue, so those with issues syncing their game state between multiple devices will still have to wait.
The update is available now through iTunes for existing users, and Infinity Blade II is available on the App Store for $6.99 (App Store link).