To preserve the status quo in order for the litigation to be completed. There were several different court actions in several different courts and as long as the judge wasn't sure what the evidence and the outcome of those rulings would be it was reasonable to preserve the status quo. If he'd allowed the hospital to remove the ventilator straight away he'd effectively have sided with them before the merits of anyone's full case could be heard.
He gave temporary injunctions that ordered the hospital to keep a dead body on IV and vent support for a few days at the time. It was necessary to keep the status quo as Jahi's fate was under legal dispute. At first the parties represented Jahi's current medical status and her prognosis to the court in different terms and more time on the ventilator was needed in order to get an independent expect to evaluate Jahi. When the independent expert had given his views the judge said that the hospital could take her off the ventilator on December 30th. Then there was another petition filed by the family and he extended the temporary injunction and said the hospital could take her off the ventilator on January 7th.
The family's religious views about Jahi's fate, whatever anyone may have thought them to be, probably weren't going to change on either December 30th or January 7th.
The question isn't about the family's religious views it is about that of the court. If you do not wish to believe the Judge left Jahi on IV fluids and a ventilator because of his RESPECT for her religious beliefs, by all means go for it. I certainly have no clue as to what outcome you are so desperate to believe is "right."