You should expect problems with any camera at that temp, if you don't take some precautions.
You'll need to aclimate your gear, so leave it in the outdoor temp for a good half hour before you start shooting. Remember not to have a tape loaded in the VX when you do this. Expect a slow focus and zoom ring.
If you can , try to keep your batteries warm. They don't last as long when cold.
You can also wrap your camera in a coat to insulate it. Since the cam puts off some heat, you should be able to trap some.
Good luck,
a