I have tried much the same as you, both at the Memorial in Washington, D.C. when it first opened, and most recently with the scaled-down touring replica.
I think that by leaving out everything but the wall and the reflections you would have a tighter and more powerful picture. The leaves on top and the floor at the bottom are too distracting for me. It is the overexposure that does it.
Thanks for the comments. I agree with you about the strip of pavement in the front. I personally think that part is a bit over-exposed. I debated fixing it with PS but since I'm not a big fan of modifying photos with PS I will just live with it until I get another opportunity to try the shot again.
I think you succeeded in your goal. I like the color reflected--helps with the stark black of the marble. I personally don't like the strip of white in front, it draws my eye, if it was grey it wouldn't stand out so much but we can't repave for our photos can we? :)