Well, it's not so easy finding music to perform that really IS the music of another culture. Just visit NYC awhile, and hear folks perform the music of their birthplace.
Field recordings help, but they're hard to find.
I guess we're still exploring that, but this page is devoted to accumulating the titles and publication information of music that is written by and for folks of non-eurocentric heritage. Maybe that's a start to acknowledging, celebrating and performing multicultural choral music. But first, a few of my favorite links. I hope you enjoy the surf. I am Children's Choir Director at The Riverside Church.