According to Allmusic.com, The Capitol Steps recorded a song called IT'S NOT EASY BEIN' WHITE on their album "Between Iraq and a Hard Place" (2003). There is a brief spoken introduction, and then it begins:

It's not easy bein' white,
Havin' to spend each day the color of a sheet,
When I think it might be cooler bein' black
An' sayin' stuff like "You go, girlfriend," or hip stuff like "Wassup?"....

The tune makes it clear that it's a parody of BEIN' GREEN, written by Joe Raposo and sung by Kermit the Frog (voiced by Jim Henson), of the Muppets.