Patients receive melphalan intravenously (IV) over 30 minutes on day -5, fludarabine IV over 30-60 minutes on days -5 to -2. Patients undergo total body irradiation (TBI) on day -1 and hematopoietic cell transplantation (HCT) on day 0. Patients receive cyclophosphamide IV over 1-2 hours on days 3 and 4. Starting on day 5, patients receive tacrolimus IV then orally (PO) for 6 months followed by a taper, mycophenolate mofetil PO thrice daily (TID) until day 35, and glycosylated recombinant human G-CSF AVI-014 (G-CSF) IV daily until absolute neutrophil count > 1,500/mm^3 for 3 consecutive days. Treatment continues in the absence of disease progression or unexpected toxicity.