My ideas:
First off, praying to be guided in what can help definitely helps!
I've heard that with rebelling teenagers, taking away stuff can sometimes be useful. Not just stuff like ipods, the tv, etc., but basics like more than 2 changes of clothes, blankets & pillows from bed (You do have to leave the bed--legal requirement for providing care, I believe), etc.
Also stop cooking, driving or doing laundry for the child.
Then let the child earn them back one at a time by them not doing specific negative behaviors and doing positive behaviors to get specific benefits or things back.
However, such measures need to be carefully evaluated, pre-planned and explained, consistently carried out.
Sources of the child's distress need to be explored and being remedied to help create relief from those for the child, at the same time the parent and the rest of the family are beginning to be given relief from the child's earlier poor choices of actions. A child would likely do better at talking about these with someone from outside the home either alone or also with family members.
For each family member to mention things that they like that they notice other family members do is a booster to increase positive actions, good feelings, self esteem, and better relations.
It would probably really help if individual family members can take part regularly in outside activities to help dilute the effect of intensity at home and build up their emotional strength.
If the family is able to pretty regularly do something fun together that is cooperative and enjoyable--such as building something fun in the yard, playing a not-very-competitive game, baking cookies, etc.--that would also help build a positive group foundation with more consideration for and enjoyment of each other. The rebelling teen may not join well or at all at first, but may over time, and that can lead to much better feelings.
I have not formally applied the above to such a situation, but there are my ideas of what would help.