This is the most feedback I've ever gotten to any post.
After much trial and error here is the solution I came up with:
1. follow the instructions in the following link. Most importantly, make sure you follow the instructions on removing the 10.2 clients. I know that's not what we're dealing with here but it is necessary:
http://support.apple.com/kb/HT2577?viewlocale=en_US
2. Put the remote desktop Admin app in the trash and empty the trash.
3. Download and install the ARD 3.2.2 client via the following link:
http://www.apple.com/downloads/macosx/apple/application_updates/appleremotedeskt op322client.html
4. Reinstall the remote desktop administrative software in the
Applications directory. (Actually, what I did was zip the ARD admin app, then trashed the non-zipped app and emptied the trash, then unzipped my zipped ARD Admin app and made sure the app was in the Applications directory. Didn't need to mess with the CD this way.)
5. Download and install the ARD Admin 3.3 update. It should now recognize that ARD Admin is installed on the computer and update it.
6. Try to launch the Admin app. It should work now.
I believe these are all the steps. After this I ran software update and it said I had no software to update. It looks as though the ARD Admin updater also updates the client software.