I read the entire patent application and I wonder if the inventors have really tried this. It sounds as though it was done theoretically rather than experimentally. I admit that I can be an eternal cynic when it comes to these things.
There are 2 steps: First, pyrolysis and then the selective plating out of the individual metals in order, based on voltage adjustment. I see problems with both of these steps, from a practical viewpoint.
Pyrolysis. This is the removal of organic materials by distillation instead of incineration. The material is heated in a totally sealed chamber and the organics are vaporized and then condensed to collect an oil. The practical problem is that the whole thing must be 100% sealed. Any slight leakage of air will immediately raise the temperature and cause an explosion. If you look in the patent literature, you will find patents for pyrolyzing all sorts of things - tires, the PET plastic from x-ray film, circuit boards, etc. Although pyrolysis sounds wonderfully green, I know of no large scale pyrolytic destruction of any of these things. If this did work, I would think there would be no more tires going to the landfills. Theoretically, you get a drum or two of usable oil and a lot of carbon black from a ton of tires. That should more than pay for the process.
Selective deposition of the various metals at different voltages (It reminds me of trying to precipitate metals from a solution as hydroxides, one by one, in order, by adjusting the pH - in practice, there's always an overlap). In order for this to work, you would have to get a 100% separation - 99% wouldn't work because the metals would have to be re-refined. As a old plater, this doesn't seem plausible. In practice, there is always an overlap of the metals during deposition, no matter how tight you control the voltage - just read any good book on electroplating theory.
If you notice, everything in the patent is very green. It sounds like they invented this thing just to get money from the government. By using pyrolysis, they eliminate incineration. By using this "slurry" anode, they eliminate melting of the metallics. In essence, if the plating separation part would actually work, you would have the exact same thing by incineration and then melting the metals and forming anodes.