How do Jehovah Witnesses explain the anger of Caiphas? So the high priest said to him: “I put you under oath by the living God to tell us whether you are the Christ, the Son of God!” Jesus said to him: “You yourself said it. But I say to you: From now on you will see the Son of man sitting at the right hand of power and coming on the clouds of heaven.” 65  Then the high priest ripped his outer garments, saying: “He has blasphemed! What further need do we have of witnesses? See! Now you have heard the blasphemy. Matthew 26:63-65
  
  Again the high priest began to question him and said to him: “Are you the Christ the Son of the Blessed One?” Then Jesus said: “I am; and you will see the Son of man sitting at the right hand of power and coming with the clouds of heaven.” At this the high priest ripped his garments and said: “What further need do we have of witnesses? You heard the blasphemy.Mark 14:61-64


John Calvin and St.Thomas Aquinas both met on a very similar conclusion, that Caiaphas was angry because Jesus claimed divinity. How do Jehovah witnesses explain the anger of the high priest?
And what was the "blasphemy" that he was angry about?
Here are the reasons given in a 2006 Watchtower article:

”The Sanhedrin saw Jesus as a threat to the authority of the religious establishment and to public order, for which Pilate held them responsible. Any popular movement that the Romans might interpret as seditious could provoke their intervention in Jewish affairs​—something that the Sanhedrin wanted to avoid at all costs.
Although unable to deny that Jesus performed powerful works, Caiaphas did not exercise faith but sought to maintain his prestige and authority. How could he acknowledge the raising of Lazarus? As a Sadducee, Caiaphas did not believe in the resurrection!​—Acts 23:8.
One murder, however, was not enough to attain Caiaphas’ evil ends. “The chief priests now took counsel to kill Lazarus also, because on account of him many of the Jews were . . . putting faith in Jesus.”​—John 12:10, 11.
The high priest knew the opinions of his fellow conspirators regarding any self-proclaimed Messiah. So he demanded to know whether Jesus claimed that title. Jesus responded that his accusers would see him “sitting at the right hand of power and coming on the clouds of heaven.” In a show of piety, “the high priest ripped his outer garments, saying: ‘He has blasphemed! What further need do we have of witnesses?’” The Sanhedrin agreed that Jesus deserved to die.​—Matthew 26:64-66.
As high priest, Caiaphas could have helped fellow Jews to accept the Messiah, but lust for power caused him to condemn Jesus.&quot;

I could find no reference in the article that Caiaphas was furious with Jesus because Jesus claimed divinity, that Jesus was equal to his Father in heaven. They say the blasphemy was claiming to be the Messiah.
This is entirely in keeping with the theology of Jehovah's Witnesses - they say Jehovah created Jesus as a spirit creature who is known in heaven as Michael the archangel.  They say they believe Jesus was divine, but deny Jesus was the pre-mortal Word of God who was with God in the beginning and who is God.
https://www.jw.org/en/publications/magazines/w20060115/The-High-Priest-Who-Condemned-Jesus/#?insight[search_id]=83d6a072-7ffc-477e-94d3-194b4e6fc386&amp;insight[search_result_index]=1