I forgot to mention, the verse you referenced about Jesus and the syrophonecian woman: Jesus was sent to the jews to be killed. That's what he means when He says He came for the lost sheep of Israel, to fulfill the promises of scripture. His ministry was limited to that area and largely to that race, knowing they were the only race wicked enough to kill God Himself. That story, along with the story of the faith of the Roman centurion, emphasizes the wickedness of the jew and how even a gentile woman who was being tested by Jesus (whereas the jews had the gospel spoonfed to them) had more faith (read it in the context of the chapter and also in Mark).