Hi. I just had almost the same issue. I had 3D layers, parented layers and a camera parented to a null using “Create Orbit Null”. The way I could move all the layers was: (CONDITION: All layers must be either 3D or 2D in order for this to work)
-Change to an ortogonal view. Front was my case.
-Unshy layers if you have them.
-Show position keyframes for the “Camera Orbit Null” layer.
-Select all layers (Ctrl+A).
-Hold Shift and add to selection all the Position keyframes of the “Camera Orbit Null” layer.
-Playhead can be anywhere in the timeline.
-In the Front View, move layers using the axis of any of the layers.
-Test the entire animation to be sure that everything looks the same before saving.