I have discovered some relevant info for RH9 users
The issue appears to be that there is not currently a version of WINE for RH9. Actually, this comes down to the glibc-2.3 compatability (if this is not phrased correctly, please realize that I am a newbie so I don't really know what it means, except that I know that it's relevant).
It so happens that I have a RH8 laptop, too. I could not get the Keio version of WINE to install on that box, but the RH8 version installed just fine.
I installed the Websphere stuff on the laptop and it now appears to be working just fine, or at least as far as I can tell in just a few minutes of testing.
If anyone hears of a version of glibc-2.3 that a newbie could use (loosely translated, RPM or tar.gz), please post it here.