You won't be able to hook up the Wii console to the TV screen. That would basically mean your hooking Computer A to Computer connected by say HDMI. You would need to get a HDMI->DVI-D+Audio converter. In other words highly unlikely. The Wii does not support any of those 3 audio and/or video formats
Something like this would work: http://www.amazon.com/HDMI-Composite-S-Video-Converter-3RCA/dp/B0047PDBP0/ref=sr_1_1?ie=UTF8&qid=1326915664&sr=8-1 or this: http://www.amazon.com/HDMI-RCA-component-AV-Converter/dp/B002WBOQPU/ref=sr_1_1?s=electronics&ie=UTF8&qid=1326915783&sr=1-1
These converters MIGHT NOT DO HDMI OUT.