Stereotactic Body Radiation Therapy Followed by Surgery in Treating Patients With Stage I-IIIA Non-small Cell Lung Cancer

Inclusion Criteria: * Have an Eastern Cooperative Oncology Group (ECOG) performance status of =\< 2 * Have histologically proven diagnosis of: non-small cell lung cancer (NSCLC) (stage I, II, or IIIa) * Neoadjuvant or induction chemotherapy or biological (immune, vaccine, etc.)therapy for stage IIIa is allowed * Chemotherapy for another invasive malignancy is permitted if it has been treated definitively and the patient has remained disease free for \>3 years * Participant is able to undergo surgery (planned lobectomy or wedge resection) * Specifically, the participant has been or will have been cleared for surgery at the time of enrollment; the surgeon can accept the baseline tests done within 45 days prior to SBRT to clear the patient for surgery * Participants of child-bearing potential must agree to use adequate contraceptive methods (e.g., hormonal or barrier method of birth control; abstinence) during treatment * Participant or legal representative must understand the investigational nature of this study and sign an Independent Ethics Committee/Institutional Review Board approved written informed consent form prior to receiving any study related procedure Exclusion Criteria: * Contraindication to SBRT (this includes the inability to cooperate with any aspect of SBRT: such as the inability to lie still and breathe reproducibly) * Previous radiotherapy to the volume of lung or mediastinum currently involved by tumor * Previous surgery for this lung or mediastin…