Does the new guitar from "Guitar Hero World Tour" (360) work with Rock Band 1 & 2 on the Xbox 360?

I am getting Rock Band 2 for Xmas and currently have the first game and play it using the Guitar Hero 2 wired guitar (my fav) but I would like my wife to be able to join in so need a second guitar and don’t want the whol band in a box thing (can’t play the drums).

More likely someone from the states will know as both games have been out awhile there (RB2 is coming out next week here).