I honestly think you're legit starving. If you asked me to eat:
fruit juice
milk (even lactose free--has sugar in it)
I'd want to "cut off the head of the infidel and bring it to the king," I'd be so hangry. So big hugs and cudos to you for staying the course. The liquid diet is evil evil stuff. Each doc has their own brand of evil. But, you do just have to knuckle down and follow the plan. As bad as it is.
It really helps to drink LOTS of water. Especially when hungry. I also found hot decaf tea helped tremendously. Also sugar free popsicles were somehow very soothing and filling. Maybe cuz they took a long time to eat?
I agree with getting your mind doing something else. Binge watching Netflix was also a lifesaver as was walking--even if it's only 5 minutes while you're having a bad urge to eat.
I swear the time will go by quickly! Hang in there!