Is anyone familiar with Julianism in the first place?
Fwiw, I've never heard of it before tonight* (which is strange, because I've read some on Justinian). What I can say is that I don't know any Orthodox who believe the type of stuff you quoted, such as the idea that "Christ was not naturally subject to the ordinary wants of hunger, thirst, weariness, etc." Your Church Fathers seemed rather consistent in their belief that the "garments of skin" in the genesis creation myth signified things like hunger, waste removal, etc., and Jesus being "fully man" (except for sin) meant that he too would have the same human failings as the rest of us.
*Though come to think of it, EKA might have mentioned it in passing on one of the OO threads.