This phase II trial is studying how well giving AMG 102 together with pemetrexed disodium and cisplatin works in treating patients with malignant pleural mesothelioma. Monoclonal antibodies, such as AMG 102, can block tumor growth in different ways. Some block the ability of tumor cells to grow or spread. Others find tumor cells and help kill them or carry tumor-killing substances to them. Drugs used in chemotherapy, such as pemetrexed disodium and cisplatin, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Giving AMG 102 together with pemetrexed disodium and cisplatin may kill more tumor cells