It sounds like there is a problem with your window management system. But not being able to open your home folder and stuff from the Places menu sounds like the problem may be much more than your window management system. Uninstalling Compiz and all that stuff wasn't going to save you, of course, but you already found that out. In my personal experience with Compiz (outside of Fedora), when I install it, eventually, Something Is Going To Go Terribly Wrong.
If you don't want to lose your system, then you can try to reinstall Gnome from the Live CD. If that doesn't work, you can install a different desktop environment temporarily using this as a guide:
http://news.softpedia.com/news/Insta...tu-48586.shtml. If the temporary environment works, I believe that it's just that something went wrong with your Gnome installation, and that a reinstallation of it should fix it. On the other hand, if you still have the same issues you are currently having with a new installation of a desktop environment, then there is a deeper, darker problem looming that might require a complete reinstallation.
Alternatively, if you can manage it, you can run a virtual console using
VirtualBox and see if a guest account would have the same problems that you are experiencing. Surely, though, you probably don't want to always log in as a guest (I hate it when Fedora tells me it's going to "report" something to the "adminstrator" when I'm sitting right there), but it will help to untangle exactly what is causing the problem.
As for stability of the OS itself, I don't think that this should be the type of thing that has you reinstalling your desktop environment every two weeks or something like that.