Ruxolitinib Phosphate and Chemotherapy Given Before and After Reduced Intensity Donor Stem Cell Transplant in Treating Patients With Myelofibrosis

Inclusion Criteria: * Primary or secondary myelofibrosis intermediate or high risk by Dynamic International Prognostic Scoring System (DIPSS) in chronic or accelerated phase * Performance status of \>= 70% on the Karnofsky scale * The effects of chemotherapy, ruxolitinib on the developing fetus are unknown; for this reasonWomen of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control or abstinence) prior to study entry and for 1 year following transplant as per City of Hope standard operating procedure (SOP) for allogeneic transplantation; should a woman become pregnant or suspect that she is pregnant while participating on the trial, she should inform her treating physician immediately * Bone marrow and peripheral blood studies must be available for confirmation of diagnosis; cytogenetics, flow cytometry, and molecular studies (such as JAK-2, MPL and CALR mutational status) will be obtained as per standard practice * Bone marrow aspirates/biopsies should be performed within 30 +/- 3 days from registration to confirm disease remission status * All candidates for this study must have a human leukocyte antigen (HLA) (A, B, C, DR) identical siblings who is willing to donate bone marrow for primed blood stem cells or an 8/8 allele-matched unrelated donor * All ABO blood group combinations of the donor/recipient are acceptable since even major ABO compatibilities can be dealt with by various techniques (red cell exchange or plasma exchange) * A cardiac evaluation with an electrocardiogram showing no ischemic changes or abnormal rhythm and an ejection fraction of 50% established by multi-gated acquisition scan (MUGA) or echocardiogram * Patients must have creatinine of less than or equal to 1.5 mg/dL or creatinine clearance \> 60 ml/min * A bilirubin of up to 2.0 mg/dL, excluding patients with Gilbert's disease * Patients should also have a serum glutamic oxaloacetic transaminase (SGOT) and serum glutamate pyruvate transaminase (SGPT) less than 5 times the upper limit of normal * Pulmonary function test including diffusion capacity of the lung for carbon monoxide (DLCO) will be performed; forced expiratory volume in 1 second (FEV1) and DLCO should be greater than 50% of predicted normal value * All subjects must have the ability to understand and the willingness to sign a written informed consent that has been approved by the City of Hope Institutional Review Board (COH IRB); the patient, a family member and transplant staff physician (physician, nurse, social worker) will meet at least once prior to the subject signing consent; during this meeting all pertinent information with respect to risks and benefits to donor and recipient will be presented; alternative treatment modalities will be discussed; the risks are explained in detail in the enclosed consent form * Prior therapy with hydroxyurea, interferon, anagrelide, ruxolitinib, hypomethylating agents, revlimid, thalidomide, steroids, other JAK inhibitors is allowed; for acute myeloid leukemia (AML) patients who are back in chronic phase myeloproliferative neoplasm (MPN), prior induction therapy is allowed Exclusion Criteria: * Patients should not have any uncontrolled illnesses including ongoing or active infection * Patients may not be receiving any other investigational agents, or concurrent biological, chemotherapy, or radiation therapy * History of allergic reactions attributed to compounds of similar chemical or biologic composition to ruxolitinib * Pregnant women are excluded from this study because ruxolitinib is an agent with the potential for teratogenic or abortifacient effects; because there is an unknown but potential risk for adverse events in nursing infants secondary to treatment of the mother with ruxolitinib, breastfeeding should be discontinued if the mother is treated with ruxolitinib * Patients with active 2nd malignancies other than myelofibrosis, AML, excised skin cancer, early stage cervical and prostate cancer * Previous allogeneic hematopoietic stem cell transplantation * Any psychiatric, social or compliance issues that, in the treating physician opinion, will interfere with completion of the transplant treatment and follow up * Patients who have been treated with chemotherapy or radiation within two weeks of planned study enrollment; this does not include hydroxyurea, which may be continued until start of conditioning therapy; ruxolitinib may be continued at principal investigator's discretion during conditioning * Non-compliance; defined as any subject, who in the opinion of the investigator, may not be able to comply with the safety monitoring requirements of the study