Guitar Hero World Tour

Ok, so I have Guitar Hero (world tour and smash hits.) But I don’t really like it that much. So the other day I went to my friend’s house and she had BandHero and liked it a lot. As you may know, Bandhero is created by Guitar Hero (the instruments are almost identical, and the guitar even says "Guitar hero" on it.) So I was wondering if I were to buy Band Hero, would it work with the kit I already have???

Thanks!