Inclusion Criteria

DISEASE CHARACTERISTICS:

- Histologically confirmed diagnosis of any of the following:

- Chronic lymphocytic leukemia or prolymphocytic leukemia

- Chemotherapy-refractory or advanced disease after ≥ 3 prior treatments

- Chronic myelogenous leukemia

- Diagnosis based on t(9;22) or related t(9;12) cytogenetic abnormalities AND
characterized by elevated WBC counts in peripheral blood or marrow

- Patients with progressive disease on imatinib mesylate or other protein
tyrosine kinase inhibitors; less than a major cytogenetic or fluorescent in
situ hybridization (FISH) complete response (CR) after a minimum of 6
months of targeted therapy; or less than a complete FISH or cytogenetic
response after 12 months of targeted therapy are eligible

- Patients with other cytogenetic abnormalities, such as t(9;12), that are
associated with an aggressive clinical course are eligible

- Non-Hodgkin's lymphoma (NHL) or Hodgkin's lymphoma

- Any WHO classification histologic subtype allowed

- Must have advanced disease as defined by relapse after initial CR or
failure to achieve CR OR deemed to have less than a 30% likelihood of
durable response with an autologous stem cell transplant

- Refractory low-grade NHL histologies or any intermediate or aggressive
large cell or mantle cell lymphoma allowed

- Acute myeloid leukemia (AML)

- High-risk disease in first CR (CR1) OR evidence of any recurrent disease
beyond CR1

- High-risk individuals are those requiring more than 1 course of
induction therapy to achieve remission; those with extra-medullary
disease at presentation; or those with high-risk cytogenetic
abnormalities (abnormalities of chromosomes 5, 7, 2, trisomy 8, or 3)
or > 2 cytogenetic abnormalities

- Multiple myeloma

- Myelodysplastic syndromes (MDS)

- Must have MDS defined by WHO criteria with > 5% blasts or high-risk
cytogenetic abnormalities (abnormalities of chromosomes 5, 7, 2, trisomy 8,
or 3)

- Acute lymphoblastic leukemia (ALL)

- High-risk disease in CR1 OR beyond CR1

- High-risk disease includes the following: t(9;22) or t(4;11); WBC >
30,000/mm³ at presentation; non-T-cell phenotype; or more than 30
years of age

- Myelofibrosis/agnogenic myeloid metaplasia

- Patients must be transfusion dependant or have evidence of evolving AML as
evidenced by an excess of blasts or a state of marrow failure/fibrosis

- Myeloproliferative disorders with advanced disease (e.g., progressive or
spent phase polycythemia vera, myelofibrosis, or essential thrombocythemia)

- Any of the following categories of donors are acceptable*:

- HLA-identical or 1 antigen-mismatched sibling (5/6, 6/6, or 8/10) donor

- Minimal serologic typing required for class I (A, B); molecular typing
required for class II (DRB1)

- 8/10 matched unrelated donor (MUD)

- Molecular analysis at HLA-A, -B, -C, -DRB1 and -DQB1 (8/10 match) by high
resolution typing is required

- 5/6 MUD

- Molecular analysis at HLA-A, -B, and -DRB1 required NOTE: *No syngeneic
donors

PATIENT CHARACTERISTICS:

- Performance status 0-2

- Bilirubin ≤ 2 times upper limit of normal (ULN)

- AST ≤ 2 times ULN

- Creatinine clearance ≥ 50 mL/min

- Not pregnant or nursing

- Negative pregnancy test

- Fertile patients must use effective contraception

- DLCO > 60% with no symptomatic pulmonary disease

- LVEF ≥ 50% by MUGA

- No uncontrolled or severe cardiovascular disease, pulmonary disease, or infection
that, in the opinion of the treating physician, would make this study unreasonably
hazardous to the patient

- No other serious illness that would limit survival to < 2 years

- No psychiatric condition that would preclude study compliance

- No uncontrolled diabetes mellitus or active serious infection

- No active second malignancy except for nonmelanomatous skin cancer

- No known hypersensitivity to E. coli-derived products

- No HIV positivity

PRIOR CONCURRENT THERAPY:

- See Disease Characteristics

- More than 4 weeks since prior chemotherapy, radiotherapy, or surgery

- Cranial radiotherapy or intrathecal therapy as prophylaxis against CNS
recurrence within the past 4 weeks allowed (in high-risk patients)