There are two things :
1. multiple encryption or security.
the money have multiple security. if money based only one encryption, then one day we face the problem the encryption is cracked. the true currency should be prepared to add new security measures over the time.
We can implement this without having to switch over to a new block chain.
2. drop mining
mining sound like a fair way to distribute fortune. however, it is a wast of energy and the true result is only a few will control most of the bitcoins in a mining model.
the true problem of a on-line currency is to control the total among, and to distribution them evenly. I do not have exact ideas how to do that, but a system base on pure luck and some game like activities will be better.
You missed the entire point. Mining is definitely NOT to distribute the currency evenly, that defeats the purpose of an economy. The entire system RELIES on mining.