Definite yes. This will provide an extra layer of security against, Hackers, Keyloggers.
Whenever your password or account is accessed on an unknown computer or device (besides your own such as you live in wisconson and soeone from texas accesses it) it will send you an SMS msg telling you that someone attempted to breach into your account, requiring your phone number to also login, Besides your Password and Gold password.
I highly recomend this suggestion. Battle.net does it. It CAN prevent hacks and keyloggers into your account.