I wish those employees seeking justice from church affiliated hospitals to expect nothing and be shocked if they land on the winning side. Religions teach about social justice but in their workplaces seek to find all possible paths to thwart its existence if that is in their best interest.
As a person who was party in a labor dispute in a Catholic school, I learned well how our board of trustees sought to foil every effort we made to seek bargaining for a satisfactory contract. The employer refused to bargain, brought persons even religious across our picket line to replace us. 
Years later they were found in contempt of eleven counts of violation of state labor law. Fortunately most of us had found much better jobs in the private sector and for that I personally am today extremely grateful.
I won economically but suffered the loss of trust that a religious institution really knows what social justice is. I would never work for them again and counsel others not to as well.