Something is causing nUI to break during the load. That is why the Blizzard elements are not hidden and why you have no unit frames in the dashboard.
Make sure that you have the correct version of nUI installed. It should be nUI 5.06.04 or higher. Anything before that is not going to work correctly with WoW Patch 3.3
If you have the correct version of nUI installed, then odds are it is one of the mods that nUI integrates that is causing the problem... the would be one of Recount, Omen3, Skada, Titan Panel, FuBar, Chatter or Prat -- it could be other addons like Grid, Healbot, Carbonite, etc. if you have the nUI Info Panel plugins for those installed.
My advice would be to try disabling everything except nUI itself and see if it loads. If it does, then you can start enabling the mods a few at a time and try to figure out which one is causing the problem.
If you're willing to go the extra mile, I *highly* recommend doing a clean install of nUI as described here:
http://www.wowinterface.com/forums/s...ad.php?t=21716 -- you'll find it makes a big difference in how well your system runs in many cases.