Dedicated to the Lord Jesus Christ Who loved us, gave Himself for us, and washed us from our sins in His own Blood; and to the Church, which is His body.

John 12:39-40 could be interpreted as the ultimate teaching in predestination. That interpretation would be that these people were never given the opportunity to believe because of Isaiah's prophecies. 
The Word of God makes it clear that "whosoever shall call upon the name of the Lord shall be saved" (Romans 10:13); "Behold, I stand at the door, and knock: if any man hear my voice, and open the door, I will come in to him, and will sup with him, and he with me" (Revelation 3:20); and "whosoever will, let him take the water of life freely" (Revelation 22:17). No one has ever been denied the opportunity to accept salvation (Timothy 2:11).
Mark 6:5 says that "he (Jesus) could there do no mighty work, save that he laid his hands upon a few sick folk, and healed them." In that instance, it is evident that the reason Jesus couldn't do any mighty work was not because He didn't possess the power, but because He chose not to use that power against a person's will. He couldn't perform the mighty works because of His decision to uphold our freedom of choice.
These Jews could not believe because of their choice to reject Jesus. They could not believe because they chose not to believe. "They stumbled at the stumblingstone" (Romans 9:32), which was Jesus.
Isaiah did not predestine them to this fate. Rather he saw that very few would receive the report (Isaiah 53:1) about the Messiah, and therefore would be kept from the knowledge of salvation because they rejected Him in whom all the treasures of wisdom and knowledge are found (Colossians 2:3). This is what Isaiah prophesied, and it came to pass. Choose carefully!