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I think the matter comes down to the ship's payload capability. The proposed missile defense cruiser, nuclear would displace 25,000 tons and use one half of a Ford class carrier powerplant. That is 140,000shp or 104.5 Megawatts for propulsion and 64-96 megawatts ship's service/and or propulsion power output and all of the 168.5-200 megawatts running steam turbine generators through a nuclear integrated power system.
A ship of this size can carry a substantial warload and large, ABM/long range air defense radars.

CGXN could have the hull of DDG-1000 scaled up from 14,000 tons to over 19,000 tons and just might be able to carry the single Ford plant reactor but how much space that reactor requires and the amount of sensor and ordinace payload carried after deducting for reactor space and weight I do not know but again large amounts of power from an integrated nuclear power system would be availible for a ballistic missile capable radar requiring an input power of 31 megawatts for the ballistic missile/area air defense role. It should be pointed out that the Soviet Kirov although using a CONAS nuclear/steam plant carried alot of the much larger missiles than the lighter and smaller USN systems.

Another approach for CGXN might be two or three Seawolf reactors that deliver a reported 32 megawatts or 45,500 shp plus ship's service loads each. Two of them might be adequate and fit within the dimensions availible of a plus 19,000 ton vessel.

So you have a space and weight issue that I'm not qualified to say much on only what I read in a CRS report availible on the web which claimed nuclear power could go into the 25K ton cruiser and smaller combatants using integrated electric propulsion.

The advantage of nuclear power remains for sustained top speed dashes without having to refuel and time on station sans refueling. Ford and Seawolf reactors share the attribute of requiring no core refueling for 35 years or the life of the ship. Ford class reactor also requires only half the number of nuclear trained engineers and technicians to operate them.

No whiz bang weapons here. Advanced Gun System for long range artillery to someday be replaced by the rail gun undergoing research now.

Periphal Vertical Launch system for Standard-2 AAW, quad paked ESSM and the possibility of quadpaking the SM-2. The SM-3 ATBM and the proposed full diameter Standard 3 Blk 2A with multiple independant IR kill vehicles to combat multiple warhead or a warhead with decoys. The existing Block I shot down the admittedly easier target that was the 'dead' spy satellite but it proved the concept was valid in the successful shootdown.

The large Kinetic Energy Interceptor that is four feet diameter and forty foot length fired from it's own special inclined 'cold launch' tubes with kill capability for boost, midcourse and terminal ABM defense.

The AAW Standard-6 ERAM with active radar homing and over the horizon capability hopes to be ready by 2012 I think for fielding to kill cruise missiles overland as well as overwater at substantial distances.

PVLS allows an increase of three inches in missile diameter, eighteen inches in missile length and a 1500lbs. weight increase for future and larger missiles. It also features an ability to absord hits and not blowup the ship, thus perhaps making possible a 'belt' of these to protect a ship's vitals a possibility.

The counter torpedo program is reduced but is under the umbrella of a system called the WSQ-11/CCAT which aims for a 6.75 inch diameter by 120 inch length weapon which at 200lbs could serve also as an ultralightweight ASW torpedo vice the 500lbs Mk46-54. Continues today as a technology effort aimed at overcoming the problems of torpedo detection/classification/localization system that was aimed to be hooked into the SLQ-25 Nixie decoy and handle straight runners, acoustic and wake homers and salvoed enemy weapons.

Another effort seeks to develope supercavitating shells from 30mm guns to create an underwater countertorpedo CIWS under the program called Adaptable High Speed Underwater Weapon.

DARPA is pursuing Electric Curtain which aims to electronically produce pressure waves that would cripple a torpedo.

Almost all these weapons and sensors require volume and so does a nuclear plant so the size definitions of destroyer such as the projected DDG(X) and CG(X) may have to be revised in the size department.

Well, even though fuel prices aren't high enough to make nuclear cost competitive there is the issue of fuel supply and keeping up with the nuclear carrier with non nuclear escorts. The CSGN would have been four to each deployed nuclear carrier.
Beyond that point, new souces and reliable sources of alternate fuels are needed for the large conventional fleet.