Actually, compared to a civilian cruise ship, a Nimitz-class CVN is quite manuverable.
I once saw a Youtube video of a new CVN (forget which one) suddenly turning to port during sea trials. The thing did a 90 degree turn at full speed in about 3 boat lengths. The whole deck tipped about 20-25 degrees during the turn.
It was awesome to watch. I wish I had the video link.
OK then, substitute a civilian cruise ship or an oil tanker for my last post ;-)