I've taught the Harley version of the BRC (Rider's Edge) and still coach the MSF BRC...
They are the same, (use the same books) with the exception of a few added pieces, the ones I didn't like are where they push the Harley product.
I did really like a few of the things they added and would have liked to seen them taught for the MSF BRC, like the 'how to pick your first bike' and riding with a passenger piece.
They also take more time in the HD version, you get a lil' more time for the exact same exercises on the range.
I also took that version when I learned how to ride 7 years ago. I got a lot out of it and it's one of the reasons that I decided to become a coach.