Therapeutic HIV Vaccine and Interleukin-2 to Increase the Immune System's Response to HIV

Inclusion Criteria * HIV infected * Stable HAART, defined as two or more antiretroviral drugs in combination. Changes in drugs are allowed if for any reason other than virologic failure. * CD4 cell count \> 200 cells/ml for the 12 months prior to enrollment * CD4 cell count \>= 400 cells/ml on two successive occasions at least 14 days apart within 30 days of study entry * HIV RNA \< 2 million copies/ml, with suppression on HAART to \< 50 copies/ml on two successive occasions at least 14 days apart within 30 days of entry * Acceptable methods of contraception Exclusion Criteria * Current AIDS-defining illness * Virologic failure (HIV RNA \> 10,000 copies/ml) while receiving current HAART regimen * Immunomodulating agents, including interleukins; antibodies reactive with lymphocytes, monocytes, or antigen presenting cells; and polyribonucleotides * IL-2 therapy within 4 weeks of study entry * Uncontrolled active cardiac, renal, pulmonary, hepatic, or CNS disease * History of active malignancy requiring chemotherapy * History of thyroid disease or autoimmune disorders, including asthma, inflammatory bowel disease, rheumatoid arthritis, and psoriasis * Active infection with hepatitis B virus or hepatitis C virus * Severe retinopathy due to diabetes, hypertension, CMV, or macular degeneration * Serious infection or other serious medical illness that is potentially life threatening and requires systemic therapy and/or hospitalization within 14 days of study entry * Substance abuse that will compromise the participant's ability to adhere to the study requirements * Current alcohol use of more than 1 drink/day any time during 6 months prior to study entry. One drink is defined as 12 ounces of beer, 5 ounces of wine, or 1.25 ounces of hard liquor. * History of allergy to eggs, IL-2, or other components of the vaccine or IL-2 formulation * Pregnant or breast-feeding * Professionals working in close contact with canaries (e.g., breeding farms, bird shops)