Agent86,
I don't believe that you are correct. In every wifi device I've come across, the wifi LAN and the built-in switch ports are bridged together.
From the manual, the issue isn't to do with uplink ports:
The ADSL modem router incorporates Auto UplinkTM technology. Each local Ethernet port will automatically sense whether the Ethernet cable plugged into the port should have a ‘normal’ connection such as to a computer or an ‘uplink’ connection such as to a switch or hub. That port
will then configure itself to the correct configuration. This feature also eliminates the need to worry about crossover cables, as Auto Uplink will accommodate either type of cable to make the right connection.
This is borne out by the fact that it works on a wired connection.
What I would do is to check the Netgear site for the most recent firmware and install it - this will probably have the added effect of resetting to factory defaults (thus eliminating any possible security setting that is blocking wifi internet access).
Otherwise I am left scratching my head on this one!
SD