Boat with nuclear engine will be too expensive, plus just think - how boat will enter in the ports, if it will be much larger than others. Ports have max depth for boats.
We have nuclear powered boats, they way about half as much as these container ships but if there was a fight, I'd much rather be the guy in the aircraft carrier than the guy in the container ship.
If this is a dick measuring contest I'll put it in different terms.
The wolves are smaller and weigh less then the sheep.
But I agree, we need to build a ship regardless of all of that.