No your problem is not psychosomatic, actually it's very real and can possibly not only lead to your kidneys, but also to your liver as well.
When protien gets metabolized, it gets broken down into toxic byproducts--one of them being amonia. This, in turn, causes both your liver and kidneys to work overtime to eliminate all that crap out of your body. Ulitmately, your liver and kidneys are going to fail due to the stress that you placed upon it.
Some people on the Atkins diet have also experinced similar problems as well making complaints that thier kidneys hurt after being on a high protien diet.
I think that the amount of protien is just too much for you. And remember that toomuch protien in your diet can lead to liver and kidney damage.