Huh? So carbon frames aren't usually lighter than steel or alu? My frame weighs 920g - can you point me to steel or alu frames that weighs less? Carbon bars, stems and seatposts, etc. generally are as light as top end alu.
What model is your carbon bike? What size? Frame and fork or just frame? Without having some idea of the price point of your bike, any point you are trying to make is pointless.
Maybe you are missing some of the finer points in the comparison between alu and carbon.
Equivalent carbon frames and components arent neccesarily lighter, a lot of carbon components are lighter, but these usually cost a considerable amount more because they are a step above what is achievable with alu, their design has been pushed beyond what alu could achieve safely. If you compare equivalently priced items its a much better way to go about such comparisons, say for £100 how much difference is there between a carbon and alu handlebar? Not just one isolated comparison, but a good sample and look at the averages.
Equivalently priced alu and carbon frames and components are likely to be in the same ballpark with regards to weights, the carbon might be marginally lower, if its MUCH lighter than a top end alloy frame then its most likely lacking in some other desirable attribute, i.e. "stiffness". You are not just paying for material, you are paying for the design work thats gone into it and top end frames are designed more optimally than entry level bikes, often they are designed beyond the capabilies of alu and thus the carbon is essential.
Of course there will always be exceptions, or massive price hikes occasionaly due to brand names etc but this aside, if you are spending say £1k on a bike, I think you would be hard pressed to find any huge functional difference between carbon and alu. It would likely come down to feel and fit.