OBJECTIVES: I. Determine the maximum tolerated dose (MTD) of neoadjuvant interferon alfa 2b (IFN-A2b) administered with cisplatin in patients with malignant pleural mesothelioma. II. Determine the MTD of IFN-A2b administered with radiation therapy and cisplatin after surgery in these patients. III. Determine the response rate and toxicity of induction therapy with IFN-A2b and cisplatin in these patients. IV. Determine the toxicity of concurrent radiation therapy, cisplatin, and IFN-A2b after surgery in these patients. V. Determine the local control rate, freedom from progression, median survival, and long term survival of these patients after combined modality therapy.