How much you would like it to be 'fair'. bitcoin still has to be scarce to have any value, if everyone has the equal share, the bitcoincap would not be enough to spread the wealth, bitcoinprice would be just a few cents.
It is the big mining rigs that make the value of the coin thrive, make it rise and rise again,
If there is not incentive, no one would mine, maybe just a hand full of people. The 21 project could benefit from it, it makes small appliences mine bitcoin, these are at the moment not powerfull yet, the difficulty has to drop for those machines to be interesting enough to contribute to the blockchain.
You cannot get rid of the need of people to want more and more. We want more social and economic equality, in that we are giving in to our own greed to want more, be it equality, it is a utopian idea we never ever will reach, only scrape upon and then forever yearn to get closer...