Whats the difference between a cyclocross and cyclocross-commuter
A cyclocross bike is designed for cyclocross racing. This typically involves riding as quickly as possible around a muddy field.
So for a cyclocross bike:


Lightweight frame and forks, usually aluminium or carbon
More 'aggressive' riding position, with lower down bars
Nearly horizontal top tube, to allow carrying it over your shoulder
Knobbly tyres, and plenty of mud clearance


Whereas a commuter bike is designed more for comfort, and carrying luggage as required. So it may have: 


Heavier frame and forks, may be made of steel.
Mounts for fitting a pannier rack, and full mudguards.
More 'relaxed' riding position, often more upright.
Mostly slick tyres, often heavier, with extra puncture resistance.
Components may be heavier, but more durable, so they last longer without much maintenance.