Woohoo! I finally was able to get my Linksys WPC51AB wifi card working with Linux. I'm running Slackware 9.0 - Kernel Version 2.4.20. I got the drivers from the madwifi project that's hosted at sourceforge. I found the drivers because I've always kept an eye out for any changes mentioned in the Linux Wireless HOWTO. Now I don't have a reason to keep using Win on my laptop.
Linux Wireless HOWTO
Hopefully someone else will benefit from my findings.