RecruitingPhase 1Biological interventionDelayed Blood Stem Transplantation in HLA Matched Kidney Transplant Recipients to Eliminate Immunosuppressive Drugs.The study will determine whether patients with functioning Human Leukocyte Antigen (HLA) matched kidney transplants for at least one year and who want to discontinue immunosuppressive drugs can be treated with Total Lymphoid Irradiation (TLI) and rabbit Anti-Thymocyte Globulin (rATG) and an HLA matched donor hematopoietic progenitor cell infusion such that their drugs are successfully withdrawn while maintaining normal renal function.