Your Cruze does have active shutters, but they are only on the lower section of the bumper and only close at highway speed to decrease drag and increase efficiency.
Despite the engine taking forever to heat up, you've been taking advantage of the electric auxiliary heater for the cabin, right?
I've heard of some guys on the Cruzetalk forums using cardboard or something to block the top section of the grill to improve warm-up, and some of them leave it in all the time (when it's below 0).
Honestly, two features I didn't know I had. I crank my heat to max when it's cold and googling says that activates the auxiliary heat. I haven't noticed this doing anything out of what I would expect in a typical engine based heat system.