Phase I trial to study the effectiveness of combining carboplatin and paclitaxel, radiation therapy with gadolinium texaphyrin, and surgery in treating patients who have stage IIIA non-small cell lung cancer. Drugs used in chemotherapy use different ways to stop tumor cells from dividing so they stop growing or die. Radiation therapy uses high-energy x-rays to damage tumor cells. Drugs such as gadolinium texaphyrin may make the tumor cells more sensitive to radiation therapy. Combining chemotherapy, radiation therapy, and surgery may kill more tumor cells.