Donor Natural Killer Cells and Aldesleukin in Treating Patients w/High Risk AML Undergoing Donor Stem Cell Transplant

Inclusion Criteria: * 4.2 High risk acute myeloid leukemia (AML) fitting within one of the following disease groups: * Primary induction failure defined as no complete remission (CR) after two or more induction cycles. For primary induction failure (PIF) or refractory AML, the patient must have \<5% circulating blasts (and \<1000 absolute circulating blasts) beyond Day 28 after last chemo. During work-up period if circulating blasts rise above these levels, the patient is ineligible. The use of hydrea or other non-induction cytotoxic agents is not allowed to reduce blasts and achieve this eligibility. If the blasts are higher than these limits, the patient should be treated on an alternative therapeutic protocol or receive another reinduction attempt. (See section 7 regarding final check of blast status within 7 days of preparative regimen start). * Relapsed AML with low disease burden must have less than 5% marrow blasts at time of enrollment for patients who did not receive re-induction or measured at least 28 days from the start of reinduction therapy for patients who did receive re-induction (maximum of 2 re-induction attempts). Patients who have relapsed more than 12 months following a prior HCT and did not reach CR following one re-induction cycle but have less than 10% marrow blasts are eligible. * CR3 or greater. This will include CRp defined as CR without platelet recovery to 100,000/mcL. * CR1 or CR2 with high risk features (therapy induced, prior myelodysplastic syndrome \[MDS\] or myeloproliferative disease \[MPD\], high risk cytogenetic or molecular phenotype) with no available alternate (sibling, unrelated donor \[URD\] or umbilical cord blood \[UCB\]) donors. Patients with prior central nervous system (CNS) involvement are eligible provided that it has been treated and CFS must be clear for at least 2 weeks prior to enrollment. * Available related HLA-haploidentical donor (3-5 of 6 HLA, A, B and DRB1 matched) * Karnofsky performance status \> 50 * Pulmonary Function: oxygen saturation ≥ on room air and diffusion lung capacity for carbon monoxide (DLCOcor) ≥ 40% * Cardiac Function: Ejection fraction (EF) ≥ 30%, no uncontrolled angina, severe uncontrolled ventricular arrhythmias, or electrocardiographic evidence of acute ischemia or active conduction system abnormalities. * Able to be off prednisone or other immunosuppressive medications for at least 3 days prior to Day 0 * Women of child bearing potential must have a negative pregnancy test within 14 days prior to study registration and agree to use adequate birth control during study treatment * Human anti-mouse antibody (HAMA) monitoring: All subjects will be questioned about prior exposure to antibody therapy (including OKT3, rituximab, trastuzumab, etc). * For subjects with no prior antibody therapy exposure, no further action will be taken * For subjects who have received previous antibody therapies 10 ml of serum will be drawn before starting therapy. The presence of HAMA will not preclude proceeding with treatment. * Voluntary written consent signed before performance of any study related procedure not part of the normal medical care. Exclusion Criteria: * Biphenotypic leukemia * New or progressive pulmonary infiltrates on screening chest x-ray or chest computed tomography (CT) scan that has not been evaluated with bronchoscopy, if feasible. Infiltrates attributed to infection must be stable/improving (with associated clinical improvement) after 1 week of appropriate therapy (2 weeks for presumed or documented fungal infections). Surgical resection waives any waiting requirements. * Uncontrolled bacterial or viral infections. Chronic asymptomatic viral hepatitis is allowed. * Known hypersensitivity to any of the study agents used * Received other investigational drugs within the 14 days before enrollment Donor Selection: * 12-75 years of age * \> 40 kilogram body weight * In general good health as determined by the evaluating physician * Donors must be HLA-A, B, DRB1 haploidentical (3-5/6 antigens HLA, A, B, DRB1) match to recipient. Patients and donors will be typed for HLA-A, B and C using at least intermediate resolution DNA techniques for DRB1 at high (allele) resolution. KIR B genotyping will be done on all haploidentical donors, and when feasible, the donor with the most favorable KIR gene profile will be used. * Able and willing to have up to 4 separate apheresis collections per formed * Not pregnant * Human immunodeficiency virus (HIV): HIV-1, HIV-2 negative; HTLV-1, HTLV-2 negative, Hepatitis B and C negative * Voluntary written consent