Man, I've had problems with Fedora as well. I only run dedicated game servers, but those 32-bit libraries can cause problems when you don't have them.
Those "winsock" errors usually aren't a problem.
Look through the debug for "err: bla bla"
Those are the ones that are usually the problem, but not always.
Unfortunately Fedora doesn't have a 32-bit library package to install all the libraries at once.
Instead you have to install them when necessary.
Basically when the game errors that it has a missing dependency, you go to "Yum" and install it.
For example:
sudo yum install glibc.i686 libgcc.i686 libstdc++.i686 glibc-devel.i686