Newbee, it's true that your source will be grounded via the IC (if it doesn't have it's own) to the amp's ground pin, provided your amp & source use the chassis as a common ground (usually the case), but that's under normal operating conditions.
The big problem is that IC cables are not designed to take mains voltages, and it will be the outer conductor in the IC that cops it - often a very fine copper braid designed for just a few volts. Using Australia's mains as my example, I doubt a typical IC will stand up to 240VAC at 10amps for long, and in a split second you may be back to having a CD player with a live outer casing. At the very least it would likely burn out the IC and start a fire.
As I said earlier, I'd be looking for the source or cause of the hum, not removing a safety aspect. If a component has a 3-pin PC, then the unit is not double insulated and by law has to be properly earthed. If a fire started due to the removal of an earth pin, I know what your insurance company would say.....