Wow - I used to have that book as a kid. Brings back some fond memories for me. Thanks for posting the picture.
As luck would have it, I've come across a few of the Brer Rabbit books that Disney put out in the seventies, and always make a point of bringing them home. There is nothing even a bit offensive about them, and my daughter (just shy of six) loves them- I usually end up reading them to her five or six times in the course of a day or two. They are also useful for explaining that not all people speak the language in exactly the way we do.
Whatever the origin of these stories, they seem to have a universal theme.
I've never seen Song of The South (that I can remember- born in '64), but I've always wanted to- and I believe that my girl would love it!
Peaking of un-PC things, I remember in the 50's eating licorice candies called "N----- Babies". They were made in the shape of little black bears. I also remember the kids discussing the name, wondering whoever gave it that kind of name, since even in the 50's, the culture was telling us not to use the "N" word.