... And putting a source of alpha particles inside a computer as he suggests is rather unwise. http://www.siliconfareast.com/soft-error.htm
Actually no, there is no danger that a alpha particle emitted by stand-alone source to affect packaged ICs. In this context, alpha particles from an Americium source have penetration depths of tens of microns, and will not reach the sensitive areas of the circuit.
Alpha particles cause Soft Errors (or more appropriately-called Single Event Effects) when radioactive contaminants from the packaging materials, bonding, balls, etc ejects alphas very close to the sensitive areas (usually transistor drains).
So, what's wrong with the recommended application note? It looks like a very elegant and simple solution (just one chip). And yes, the 4Mbit/s looks obtainable (or a new random byte each 2 microseconds).
However, I'm quite interested on why and how you will use so many random numbers. Care to share?
Cheers,
Dan