Patients receive oral sorafenib tosylate* once or twice daily beginning 2 weeks before the initiation of chemotherapy and continuing until the completion of chemotherapy. Patients also receive epirubicin hydrochloride** IV and ifosfamide IV over 90 minutes on days 1-3 and pegfilgrastim subcutaneously (SC) on day 4 or filgrastim (G-CSF) (SC) daily beginning on day 4 and continuing for up to 10 days or until blood counts recover. Chemotherapy repeats approximately every 21 days for 6 courses in the absence of disease progression or unacceptable toxicity. During course 2, patients also undergo 8 fractions of external beam radiotherapy once daily between days 1-10 for a total dose of 28 Gy. Between courses 3 and 4, patients undergo surgical resection. Beginning approximately 2 weeks after surgical resection, patients with positive surgical margins undergo 6 fractions of boost external beam radiotherapy once daily for a total dose of 12 Gy.