We currently have medications that are great at controlling the kind of acute rejection that would put a critical organ (say a heart of liver) at risk. Long term rejection is another story, but stuff like thymoglobulin is potent enough to basically shut down even the most aggressive rejection episodes. Hence why short term graft survival is actually very good (1 year survival of 90% for heart transplant;
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4133547/ ). Also as per the US Government and the United Network for Organ Sharing, ownership of head vs body is pretty black and white. Brain death is the universal determinant of death for organ donation, so a body donated after its brain is dead is not that ethically dubious. So I must ask, what exactly is your problem with transplants?
They actually already do something pretty similar to this, its called a multi-visceral transplant, where a person has their entire abdominal cavity transplanted. You can end up with the intestines, liver, kidneys, pancreas, and sometimes heart/lungs all being moved into a new person together. The only big hurdle with doing an entire head transplant is the neuronal issues. I dont buy it when they say "Glue" can fix it lol.