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Radical Mastechtomy does not prevent breast cancer, it is a treatment for very progressed breast cancer.
Simply removing the breast tissue does not prevent breast cancer. If there were the case women with very small breasts and men would not get breast cancer. Likewise radical mastechtomy would be cure for breast cancer, which it is not as even after the procedure woman may have their cancer return.
Also, just be clear, to equate the removal of a small relativly unused bit of skin to the radical removal of a physical feature shows a man unduly obsessed with his own genetalia.
A more accurate analog would be "breast reduction surgury prevents breast cancer", which again is not really an appropriate analogy, as breast cancer, like all cancers haver various avenues of treatment,where as HIV has no known cases of remission.