Here is my final prediction for the Model 3 Ludicrous and yes I believe that will be the name.
From the data that
@eivissa has provided I believe that the front motor will be essentially unchanged and the battery for North America will be the 82.1 kWh Panasonic battery but perhaps it will have tweaks like better cooling that affect the performance slightly.
The new 950A(4D2) rear motor will be the biggest change. In combination with the new wider rear tires that will completely transform the performance of the vehicle. Not only will this motor provide much better top end acceleration but it will also be able to provide better acceleration from zero mph and on up with the added traction of the wider rear tires.
I went back and collected all of the data that Eivissa provided and used those as limiting parameters but I used my Panasonic battery data instead of the LG battery data. The graph below shows what I think is possible for the Model 3 Ludicrous vs. the current Model 3 Performance with the Panasonic battery.
I capped the max Amperage of the 950A rear motor at 909A in my assumptions because the current rear motor(831A) never gets to the theoretical 850A limit for that motor. I also allowed the max amperage of the combined motors to go up to 1,500A. That assumption may or may not be reasonable but it is hard to tell how much headroom the Panasonic battery has vs. the LG battery.
Basically my prediction is that the North American Model 3 Ludicrous will have a 485-500 KW Max Discharge Value but will achieve 480-485 KW in actual combined power vs. the 462 KW Max Discharge the current Model 3 Performance has in North America. This may be a little optimistic but my guess is that they are trying to advertise 650 HP(485 KW).
This graph below shows a 57 KW(76 HP) difference at 68 mph between the Model 3 Ludicrous and my fully optimized Model 3 Performance. However, the Model 3 Ludicrous also has a significant advantage over the Model 3 Performance below 60 mph which heating the battery doesn't help in the Model 3 Performance.
I predict this Model 3 Ludicrous will be significantly quicker at all speeds. My prediction is still 10.5 @ 128 mph and 0-60 mph in 2.5 seconds with rollout subtracted. 0-130 mph will be greatly improved but still limited by how much the front motor drops off in power at higher speeds. The Model S LR will still have a significantly quicker 60-130 mph.
I still predict sub $60K but sub $55K might be possible too.