I would like to be able to see the cabinets with and without the backs in case there are features you have added to the wall (stud locations, outlets, plumbing, masonry, etc.) that you want to check the location of relative to the cabinet.
Try this as a solution and let me know what you think. I am a little reluctant to add more layers for fear of it being too cumbersome.
1. Select the back of interest (or more than one).
2. Unlock the selection with right click.
3. Hide selection with right click.
When you want them back back in view go to Edit > Unhide > All.