Not totally, the surface escort ships are all non-nuke and will need a fuel supply. Like someone else posted, you still need food too.
The reactor would have to be upscaled at least a factor of 10 to make enough fuel for the aircraft and escorts, with the increased cost and if the size of the ship is kept constant, a loss in carrying capacity.
Bottom line, I bet it will not be worthwhile.
Just the aircraft.
Fuel tankers could be replaced by nuclear powered, fuel producing tankers WHICH DON'T HAVE TO TRAVEL THOUSANDS OF MILES AWAY FROM THE CARRIER GROUP TO RELOAD.
Food can be procured in many more locations than the quantity of fuel required of large naval ships, can be transported on any cargo ship, and can be airlifted.