These Linux binaries didn't successfully run, but now some independent users managed to get the first Steam client window to appear. Below is the first screenshot of the Steam Linux client provided to us by a Phoronix reader known as Kame.
This is part of the window being rendered, but as you can see, Valve is still working away at their Linux client. The client is not yet in a usable state to play your favorite games (at least in the external builds), but you can see that it is coming. You can follow this lengthy forum thread discussing their poking around of the Steam Linux build and today's IRC logs (via #phoronix on FreeNode IRC) as those independent users continued in their exploration efforts (search for mastertheknife within that page as he was the user that managed to achieve this feat).
Update: Here's another screenshot we just received of the Steam client log-in window again running natively under Linux.