OMFG IM SO STUPID!!! I realised this in the cold light of day*, while i was in school, but QC is blocked by some stupid filter crap, so i couldn't post....
The error is in the page Skin.php (Which really is there.. uhm, i think?) on line 22 it references /home/sites/sionide.net/www/anthropc/skins which is the directory path used by the old web server. The new one uses /home/sionide/public_html/anthropc/skins
You could just open up Skin.php, go to line 22 (or there about-ish) and replace home/sites/sionide.net/www/anthropc/skins with home/sionide/public_html/anthropc/skins.
I imagine you will run into more errors like this though, so maybe you need to mess with the wiki config or you might even need to re-install the wiki (erk, be carefull with this, backup THE WHOLE THING first.) I don't really know because i have NEVER tried to run a wiki. You could always go around changing EVERY reference to home/sites/sionide.net/www to home/sionide/public_html but that could take a while, or it might only take ten minutes.
*Well it was cold this morning, but actually i was in the toasty warm computer room and the sunlight (shining on the moniter because the blinds are broken) was quite pleasent and warming.