Right, we need more information please :)
Could you add the output of apt-cache policy steam, how much disk free space you really have df -h would be ok, and if you have Steam set-up in a non-normal case, like using symbolic links or having installed it on an NTFS/XFS mount.
When was the last time Steam was working for you, did it apply an update and then have this issue?
The D-BUS warning can be safely ignored.
I made some space on my (ext3) home partition, deleted ~/.local/share/Steam, and apt-get purged everything steam which meant I was able to reinstall fine.
It's possible when steam was initially updating I missed the error message, and subsequently my Steam directory was somehow corrupted. I can say that when I reinstalled, I got this error message after steam had downloaded 150 MB of updates:
"Fatal Error: Steam needs to be online to update. Please confirm your network connection and try again."
This might be because my routes are static in /etc/network/interfaces . It's not the first time I've seen this error message, I might have seen it yesterday when I loaded up steam (which I installed a few weeks ago) and it said it was updating. (Maybe I had enough space when Steam downloaded the update, but by the time it was downloaded and ready to extract there wasn't enough space?) I was definitely out of space, but the Steam launcher was totally broken by the attempted update (and had at one point worked.)
Unfortunately I deleted my corrupt config folder so it can't be inspected. Probably just as well to resolve this. :)
It might be worth trying to reproduce by running the installer when you don't have quite enough space on your home partition. It's possible I even saw the "you don't have enough space" warning, but forgot about it, and was later confused by why steam just did nothing when I tried to start it, which is the main bug.
Not making the error visible is unhelpful behavior but isn't Linux specific, so this should be raised on the regular Steam support forums.
Nothing extracted yet.
I've tried running steam from the menu and from a terminal.
In a terminal I just see:
$ steam
/usr/bin/steam: line 196: /home/schlathe/.local/share/Steam/steam.sh: Success
Examining the logs, in ~/.local/share/Steam/logs/bootstrap_log.txt I see:
[2013-04-06 22:40:27] Error: Steam needs at least 100MB of free disk space to update.
Whatever logs that error should send out a dbus notification or something.