QLogic drivers are removed from Live CD's, probably because almost nobody using the Live CD needs them and it saves some space. Install livecd-tools and spin-kickstarts then edit /usr/share/spin-kickstarts/fedora-live-base.ks and comment out the section
# qlogic firmwares
and rebuild with
There you go your own spin with qlogic drivers included, you could also use revisor, but in my experience it doesn't work so well.