Glad to see you're fully informed as to the relative running costs of nuclear vs diesel and GT-powered ships. I can't wait to see your comparison.
Well, one has been done.
Bottom line, nuclear is more expensive, for LSD class ships and larger, unless the price of oil goes above $323 a barrel (in 2011 dollars).
Congressional Budget Office - 2011 - The Cost-Effectiveness of Nuclear Power for Navy Surface Ships