The combination of Pemetrexed (Alimta) with Cisplatin has been approved as one of the standard chemotherapy drug combinations for the treatment in advanced Malignant Pleural Mesothelioma, and there is likely a group of patients who may benefit and potentially be cured by this therapy. In an effort to achieve a better chance of complete removal of the cancer and long term survival, the investigators are interested in using this drug combination of Pemetrexed + Cisplatin before surgery and offer radiation therapy after surgery.