Multimodality Treatment for Women With Stage II, Stage III, or Stage IV Breast Cancer

RATIONALE: Drugs used in chemotherapy use different ways to stop tumor cells from dividing so they stop growing or die. Monoclonal antibodies such as trastuzumab can locate tumor cells and either kill them or deliver tumor-killing substances to them without harming normal cells. Combining chemotherapy, monoclonal antibody therapy, and surgery may be a more effective treatment for breast cancer. PURPOSE: Phase II trial to study the effectiveness of combination chemotherapy, monoclonal antibody therapy, and surgery in treating women who have stage II, stage III, or stage IV breast cancer.