Choose to either use the nVidia installer, or to use the RPMs. One way or the other, neither is really superior just pick one. In either case, you should remove the package that conflicted in order to smooth this process, note that the files it contains will not be used once the nVidia drivers are installed (even if you leave it there.. so remove it)
rpm -e XFree86-Mesa-libGL
Now, reinstall the drivers by chosen method and try glxinfo again. With no glxinfo, the games have no hope of working. After the driver is installed, did you edit the config file to include glx, exclude dri, and to use the 'nvidia' driver?
"..the triumph of evil is for good men to do nothing."
VIDIA video driver RPMs for Fedora
:: see yum repo at livna.org