There would be tremendous savings in cost due to travel and valuable tactical advantages.
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.