I already own Starcraft 2 and, therefore, a Battle.Net account. But I'm not playing it very often, so I let a friend of mine use it.

If I buy Diablo 3 (which I intend to do) and bind it to this very same Battle.Net account, will we be able, my friend an I, to run these two games at the same time on different computers? Or should I create another Battle.Net account and prey for Blizzard to leave me the hell alone and not asking for an official identification on the rare occasions I connect to the two different Battle.Net accounts with the same IP?