Noob question here: Since, if I get this correctly, all these changes will require new pilot training, why is the MCAS still needed? My understanding was that this system was installed in order for the new plane to behave exactly like the old one therefore not requiring costly additional pilot training.
The proposed fix is to change the software to admit to itself that it can fail, to limit the amount of control that MCAS can exert, and to train pilots to recognize failure modes and how, in the event of MCAS failure, manually handle the undesireable aerodynamics. Boeing can't simply disable MCAS and say that pilots have to always manually handle it; the rules specifically say the plane cannot behave in that manner.
[0] In some uncommon-but-not-impossible situations, pulling back on the control yoke and putting the plane closer to a stall is easier than pushing on the yoke and getting further from stalling. That isn't allowed for commercial aircraft.
https://www.nytimes.com/2019/06/01/business/boeing-737-max-c...
https://www.ecfr.gov/cgi-bin/text-idx?node=14:1.0.1.3.11#se1...
MCAS fixes this by detecting the condition and, in effect, pushing forward on a secondary control.