Rick Derringer (which is a really bad-ass name, BTW) was a busy guy in the 80's.
He did some really popular entrance songs, as well as most of the work on the Fed's first two records - "The Wrestling Album" & "Piledriver."
Trivia: Real American was originally intended for the Barry Windham & Mike Rotundo team. Jesse Ventura even mentions them in conjunction with the song on the album.
Anyway, Hulk Bollea got the song, Rotundo got 16 name changes, and Windham finally realized musical acclaim years later as part of the West Texas Rednecks in WCW!