This pilot clinical trial studies stereotactic body radiation therapy followed by combination chemotherapy in treating patients with non-small cell lung cancer. Stereotactic body radiation therapy is a specialized radiation therapy that delivers one to five high doses of radiation directly to the tumor and may kill more tumor cells and cause less damage to normal tissue than conventional radiation. Drugs used in chemotherapy, such as carboplatin and paclitaxel albumin-stabilized nanoparticle formulation, work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Giving stereotactic body radiation therapy, followed by carboplatin, and paclitaxel albumin-stabilized nanoparticle formulation may kill more tumor cells and result in a better and more durable response than conventional radiation and chemotherapy. The purpose of this study is to test the safety of this approach prior to larger studies.