Luck doesn't land planes with degraded flight controls.
Luck allows a crew that followed one error and multiple omissions with another even more grievous error in an attempt to correct the first (when they certainly should have known better) to have a suitable divert, VMC on top, and capable air traffic controllers sufficient to effect a successful landing.
With the benefit of hindsight all solutions are simple.
Hindsight for this crew would show they executed the wrong checklist and did it incorrectly to boot. To wit: rather than turn off ADRs as called for, the F/O turned off the ADIRS. Hindsight would not show they handled it the best they could.