I think that this is a false debate. While the two products seem to address the same concern, there are clearly different circumstances that favor each.
CB's don't require the homeowner to find a hardware store open on Sunday night. Nor will one be tempted to go through a box of fuses while "troubleshooting." After a few trips, people tend to figure out that you don't run the microwave and air conditioner at the same time. With the installation of new CB services, homeowners are finally updating the grossly over-strung circuits that, in the past, they 'fixed' by over-fusing. Moreover, since it takes some time to trip, I can actually measure the current draw as I track down the problem.
Fuses do react faster- and for when things go real bad, fast is good. It's no accident, though, that fuses are typically used together with other overload devices. Even without other devices, fuses can often be sized closer to the desired level.
And, as others have posted, ther's more to 'safe' than fuses and CB's. GFCI's and TVSS have prooven their utility, and AFCI's may yet do the same.