I say go for it! If you really are the best actor and singer there, they won't even think about your race.
The only time a race of a performer has distracted me is when a black actress plays a character who is referred to as having pale skin in the lyrics-- like any member of the Sweeney Todd family (though I didn't even think about it when Brian Stokes Mitchell played Sweeney, just because his skin DID look pale), or Cinderella (Really, "Her neck is no whiter than a swan's-- can't that be changed to "her neck is no longer than a swan's?")
In my pants, she has burst like the music of angels, the light of the sun! --Marius Pantsmercy