If you are found to be eligible, you will begin receiving chemotherapy with cisplatin and docetaxel. Cisplatin and docetaxel will be given by vein once every 3 weeks. Both will be given on the same day every 3 weeks. Docetaxel is given first over 1 hour. Cisplatin is given second over 30 minutes to 1 hour. You will receive three 3-week cycles of chemotherapy while on this study. Treatment with erlotinib will begin after you have had surgery to remove the lung cancer. You will take erlotinib by mouth every day for the remainder of your treatment on this study.