Actually, the two problems are intrinsically linked. The kickdown cable is perhaps better described as the gearbox pressure regulator. At idle, with no throttle applied, it is at its loosest which gives lowest possible gearbox pressure, then, as the throttle is increased, the cable is progreesively tightened until it reaches maximum gearbox pressure at full throttle. Kickdown is determined by gearbox pressure, plus a couple of other factors, such as engine - aka gearbox input shaft - speed. If your car is reluctant to kick down, then the implication is that the kickdown cable adjustment is too loose - or that you are not achieving full throttle at the carbs. Hence why the procedure for checking the kickdown cable adjustment starts by verifying the throttle linkage set - up. It is quite common for the throttle linkage to be in a poor state on the V8 because of the tendency to wear a couple of rubber bushes in the linkage away. This thread has all the info to sort it out.
Of course, by increasing the tension on the kickdown cable, you will raise the box pressure all across the operating range, not just for kickdown. On the face of it, this will make your jerky down change problem worse. So the next thing to check is what your idle speed is. The gearbox fluid pump is driven by the gearbox input shaft, so the higher the engine rpm, the higher the box pressure for a given kickdown cable setting. Make sure you have the lowest attainable idle speed, certainly no more than 650 rpm, lower if you can achieve it without risk of stalling. That will give the smoothest possible take up of drive and reduce to a minimum the "clunk" on moving the gear lever from neutral to drive. Your problem of harsh downshifts should also be improved, because the engine at no throttle should be running slower, and hence with lower box pressures, when the road speed dictates a change down.
The long and the short of this is that if you have a gearbox problem, you first have to sort out all the carburettor settings and throttle linkage. Only then can you move on to faulting the transmission. Quite unlike a modern car!
Chris