This phase II trial is studying how well giving rituximab; ifosfamide, carboplatin, and etoposide (ICE) combination chemotherapy; and filgrastim (G-CSF) together with plerixafor works in treating patients with non-Hodgkin lymphoma undergoing mobilization of autologous peripheral blood stem cells. Giving chemotherapy (ICE) with monoclonal antibodies, such as rituximab, stops the growth of cancer cells by stopping them from dividing or by killing them and helps get better autologous stem cell product. Giving colony-stimulating factors, such as G-CSF, and plerixafor helps stem cells move from the patient's bone marrow to the blood so they can be collected and stored for future autologous transplant.