The goal is not to replace miners, that would be a violation of the social contract the protocol offered to miners.
Miners have invested large sums of money into protecting Bitcoin and screwing them is just not logical.
I happen to disagree. The large miners have invested large sums of money in order to earn a lot of BTC.
Also, as long as the current ASIC mining farms are protecting the chain, they are a great advantage as they greatly increase the barrier to attack the chain. The goal of the proposal is to leave revenue with them but diffuse political power by sharing it with stake holders. Or in other words, to increase diversity in miners so that 2-3 parties cannot hold the currency hostage.
The large ASIC mining farms are theoretically protecting the chain with their enormous hashing power. But the main reason for their very existence is to make money they care only so much for BTC as it concerns their money making industry. In theory this hashing power should be supplied by a lot of decentralized miners but in reality this hashing power comes from a few huge miners. And that's not how it was meant to be in fact it's now almost how it shouldn't be as the big miners have more weight than anybody else.
I don't see how this could be changed more easily than by changing the PoW from SHA2 to something much more complex.