A terrible idea, unless the intent is to destroy bitcoins.  After using an address, I usually destroy the private key (after several confirmations) and put the change at a new address.   Many "active" addresses would be blackholes for bitcoins.

Although I don't exactly agree with a premise for the redistribution, a fairer way to distribute it would be to generate transactions that give it away in mining fees over time, distributing it to the miners.  Bitcoin owners could reap this bounty by buying mining contracts.