I would think they would have a better chance being accepted by the white side then they would the black. Same with Japanese. I doubt this was the case 40 years ago.
I am bi-racial, Asian/White, and grew up in The South in the 60's. During the Vietnam War was a really tough time to be Asian looking in The South. I was called everthing from Gook to Ho-Chi-Minh by white kids who had relatives in the war.......