This is really exciting news, The severe lack of viable transplant organs has been a serious hinderance to the medical profession. If the process can be perfected this has the potential to save millions of lives.
I'm betting that we'll be able to clone organs before this is ever a truly viable option. It might be used as a stop gap until an organ is grown, but I seriously doubt it'll be a main course of treatment.
Wait, they transplanted a pig's kidney into a... corpse? How did they get authorization for that experiment exactly? The family donated the body to science? I know they'd have just kept him on dialysis if they were actually attempting to prolong his heart beating corpse status.
That's nothing, I've been transplanting pig tissue into my organs for years and I'm doing fine. Some of the biggest risks come from the cooking stage but it's otherwise pleasant.