I don't agree entropy has been decreased for Earth. To me the raised temperature is a direct sign of increased entropy.

Also note there was no such thing as deserts, a long time ago, all we had on the planet was greenery, oceans, and iceccaps.

We cant say this is down to the Earth somehow bottling in more heat because of greenhouse gases, (Which are a symptom of the root problem - using the enrgy from the planet) because this would imply that some heat is normally transferred off of the planet by radiation into space, when actually there is nothing to transfer the energy to in space. For enerrgy transfer there has to be a sink, to take the energy transferred, but there are no significant sinks we know of, so we can't say any energy is transferred off of the planet at all.

Yes there is energy radiated, but this does not mean transferred, it just means an electromagnetic field is established, it is radiated, so it is available for things to absorb it, if there were any out there to absorb a significant portion of the field, but space is empty, nothing to absorb the radiated heat. So the heat we generate, we keep right here on the planet, unfortunately. The only way to deal with it is create things with it, other than heat, and to do that, we need the energy of the sun.

I get where you are coming from treating economic systems as just more Engineering, this is what we have to do, in a fair world, we should just sack all the economists who refuse to learn about physics imho :) But seriously, I think they will be made redundant by automation anyhow, so no worries there :)