Do I need an extra base for infinity?

My daughter has disney infinity for xbox 360. We have 2 xbox 360's and 4 live accounts. When we play minecraft on the xbox that's not the one that it's downloaded to, as long as I'm signed into the main xbox live account we can play the full version, even though it's downloaded on the other xbox. My question is can we do the same with the infinity? And will I need an extra base for the characters?

If you're trying to play at the same time on both Xboxs you'll need another base as well as another disc. If you're just trying to play the game on 1 Xbox at a time, you have to unplug the base and take out the disc and put it in the other Xbox. As for the save file, unless you save it online to the cloud server, you'll have to make a different save for the game on each Xbox. Hope that helps!