You said, "Why can't a judge order a video of Terri for the world to see that she isn't a VEGETABLE?! Or why can't her parents do that?!"
As I understand it, Michael does not allow them to take cameras or video cameras into the hospice.
The Judge doesn't want the world to see. When he ordered Terri's feeding tube removed (was it the first time?) her sister knew that Terri could still survive because she could eat orally. But when sister showed up at the hopice with food she was thrown out and then forbidden to visit Terri again. The judge thundered from the bench, "I don't want anyone feeding that girl! The rule of law in this case is that she is going to die!" So you see...it really doesn't matter if Terri actually doesn't need the tube or if she can eat on her own or survive...they just want her dead.