So I suppose your proposed setup could work. If you had the D10A set up to the same servos COMPLETELY INDEPENDENTLY, and then severed the DSAB wires for normal circumstances, and then kept the DSAB wires to the servos severed nominally, (but with the DSAB network configured from the D10A as well), in the event your D180 died, you could flip the switch, the D10A *should* find the servos, but then you need to re-engage the autopilot again. Under no circumstance will it automatically take over.
In a no-switch version of this, you would DSAB everything together from the D180, configure and test the AP, then do the same thing from the D10A and configure and test the AP, and then finally, reconfigure the DSAB network so that the D180 is master. That would let you, in the event of a D180 failure, do a quick manual DSAB reconfiguration in flight, and then fly the AP from the D10A after then re-engaging it.
Neither of these are officially-supported scenarios though. We wouldn't recommend relying on an in-flight DSAB reconfiguration in an emergency configuration, and even having the switched configuration depends on having the system configured PERFECTLY beforehand. If it were my airplane, the second EFIS would be there as a full set of backup flight instruments in an emergency. If it were the AP-controlling EFIS that failed, you wouldn't have the AP on the remaining one, but you'd still have every primary flight instrument to get yourself home on a "complete" partial panel.