Hi dibzzy
The thought certainly crossed my mind when I started CD, knowing that I would feel hungry for a few days and wanting to do anything that would make it possibly easier (because this time I so want to lose the weight and keep it off - very good motivator!)
Would agree with misspinkkat - mixing the two sounds as if it would be counter-productive given that CD is specifically designed to ensure that we don't have hunger (or minimal hunger, which is maybe more psychological than physical).
I am also wondering if there would be more complex dangers in combining two very different approaches, don't know the physiology/pharmacology ins and outs (20 years since I daydreamed out the window at a school of nursing) but perhaps one of our regulars will.
I am a person that is driven crazy by hunger (I posted here in my first week that I came close to snatching a pie out the hand of an unfortunate man walking past me at a shopping centre - his crime? he wasn't eating it quick enough!) but really you will be fine once you get past the first few days, drink lots of water and I find black coffee (decaff would be healthier) useful.
Good Luck!