Got it working. What I did was to uninstall Fusion, but, in addition to deleting the files mentioned in the link that Woddyz provided, I also did a 'find . | grep -i vmwa' command as root. I found a number of other files related to Fusion using this method. I removed all of them, booted, then re-installed Fusion. After that, it worked, my clients can now see the network, and doing an 'ifconfig -a' on the host system now shows the VMware network adapters.
Thanks for your input Woodyz