They're so short that it's hard to make out the Bon Jovi song. I checked out after that Young Guns soundtrack, so I'm not the best person to ask! Maybe there's a longer version of this ad — hopefully. The tune, however, is We Weren't Born to Follow, which is off the band's latest album.
Square Enix could've used any sample from pretty much any rock song to the same effect. But, hey, Bon Jovi, no?