Clofarabine, Cytarabine, and Filgrastim in Treating Patients With Newly Diagnosed Acute Myeloid Leukemia, Advanced Myelodysplastic Syndrome, and/or Advanced Myeloproliferative Neoplasm

Inclusion Criteria:

* Diagnosis of acute myeloid leukemia by World Health Organization (WHO) criteria (except acute promyelocytic leukemia), or myelodysplastic syndrome, RAEB-2 by WHO classification or advanced myeloproliferative neoplasm with \>= 10% blasts in the bone marrow or peripheral blood, including chronic myelomonocytic leukemia (CMML)-2 by WHO classification
* Eastern Cooperative Oncology Group (ECOG) Performance Status 0 - 2
* Serum creatinine =\< 1.0 mg/dL; if serum creatinine \> 1.0 mg/dL, then the estimated glomerular filtration rate (GFR) must be \> 60 mL/min/1.73 m\^2 as calculated by the Modification of Diet in Renal Disease equation
* Serum bilirubin =\< 1.5 x upper limit of normal (ULN) unless elevation is thought to be due to Gilbert's syndrome, hemolysis, or hepatic infiltration by the hematologic malignancy
* Aspartate transferase (AST)/alanine transferase (ALT) =\< 2.5 x ULN unless elevation is thought to be due to hepatic infiltration by the hematologic malignancy
* Alkaline phosphatase =\< 2.5 x ULN
* Capable of understanding the investigational nature, potential risks and benefits of the study, and able to provide valid informed consent
* Female patients of childbearing potential must have a negative serum pregnancy test within 2 weeks prior to enrollment
* Male and female patients must use an effective contraceptive method during the study and for a minimum of 90 days after study treatment

Exclusion Criteria:

* Current concomitant chemotherapy, radiation therapy, or immunotherapy other than as specified in the protocol with the exception of intrathecal chemotherapy administered on days that are not concurrent with clofarabine and cytarabine
* No prior induction chemotherapy for AML; treatment with hydroxyurea is permitted; treatment with imides or hypomethylating agents for preceding hematological disorders is permitted
* Have any other severe concurrent disease, or have a history of serious organ dysfunction or disease involving the heart, kidney, liver, or other organ system that may place the patient at undue risk to undergo treatment
* Patients with significant organ compromise due to systemic fungal, bacterial, viral, or other infection
* Pregnant or lactating patients
* Any significant concurrent illness, condition, or psychiatric disorder that would compromise patient safety or compliance, interfere with consent, study participation, follow up, or interpretation of study results
* Have had a diagnosis of another malignancy, unless the patient has been disease-free for at least 3 years following the completion of curative intent therapy including the following:

  * Patients with treated non-melanoma skin cancer, in situ carcinoma, or cervical intraepithelial neoplasia, regardless of the disease-free duration, are eligible for this study if definitive treatment for the condition has been completed
  * Patients with organ-confined prostate cancer with no evidence of recurrent or progressive disease based on prostate-specific antigen (PSA) values are also eligible for this study if hormonal therapy has been initiated or a radical prostatectomy has been performed
* Prior allogeneic stem cell transplant