So after doing some more reading on this, it appears this new system is a variation of the existing elevator feel system and the speed trim system. Essentially, it moves the stabilizer via the trim system and the trim wheels will rotate when this is occurring. The pilot should be able to stop the automatic movement of the stabilizer by using the thumb switches, and if that doesn't work, the cutout switches.
The system is slightly different, but the procedure for shutting it off is the same as it was on the NG.
It can drive the stabilizer in 10 second increments, which would be a decent amount of trim and stick force to overcome.
The pilots on the previous flight used the cutout switches to regain control and were successful.
Then you would have to pop out the handle and manually trim the airplane.