I'm sorry to hear of your dilemma.
Like you, my wife is an R.N. working in a hospital, and I have represented nurses against hospital employers in the past. I have never represented the hospital.
Unfortunately, under CA law, the 2 on 2 off shift is entirely legal---and despite the fact that it might have negative impact on patient care, unless you can be classified as disabled under the ADA guidelines, then you will be unable to seek an accommodation from your employer allowing you a full day off in between your shifts. And, the shift you have been assigned is lawful---I'm sorry.
I wish you the best this holiday season.
I understand that you may be disappointed by the Answer you received, as it was not particularly favorable to your situation, nor was it what I sensed you were hoping to hear. Had I been able to provide an Answer which might have given you a successful legal outcome, it would have been my pleasure to do so.
Because I help people here, like you, for a living---this is not a hobby for me, and I sincerely XXXXX XXXXX abiding by the honor system as regards XXXXX XXXXX I wish you and your family the best in your respective futures.
Would you be so kind as to Accept my Answer so that I may be compensated for assisting you? Bonuses for greatly informative and helpful answers are very much appreciated. Thanks Again,