There is no mention of the cleansing of the Temple in any of the accounts of Jesuss trial in the canonical Gospels or any other Gospel. It would have been very easy for the Gospel writers to construct a story in Jesuss defense. Did they forget? I dont think so. According to the Gospel accounts, Jesus was not found guilty of any crime. Then Pilate announced to the chief priests and the crowd, "I find no basis for a charge against this man." (Luke 23:4) In All likelihood Jesus was executed simply to avoid an uprising.49 Then one of them, named Caiaphas, who was high priest that year, spoke up, "You know nothing at all! 50 You do not realize that it is better for you that one man die for the people than that the whole nation perish." (John 11:49-50)
Biblical scholar Elaine Pagels believes that may be true quote from Caiaphas. If we look closely at that verse Caiaphas appears to be justifying the execution of Jesus not because he is guilty of any crime, but because Caiaphas did want Israel to suffer the wrath of the Romans. It was feared by the Jewish authorities that Jesus was an instigator. They wanted to stop Jesus permanently so the situation would not escalate out of control.
The very thing the Jewish authorities feared actually happened a generation after the death of Jesus. A Roman soldier exposes his private parts in the Temple. A riot breaks out. In the end, 10,000 Jews are dead.NOW after the death of Herod, king of Chalcis, Claudius set Agrippa, the son of Agrippa, over his uncle's kingdom, while Cumanus took upon him the office of procurator of the rest, which was a Roman province, and therein he succeeded Alexander; under which Cureanus began the troubles, and the Jews' ruin came on; for when the multitude were come together to Jerusalem, to the feast of unleavened bread, and a Roman cohort stood over the cloisters of the temple, (for they always were armed, and kept guard at the festivals, to prevent any innovation which the multitude thus gathered together might make,) one of the soldiers pulled back his garment, and cowering down after an indecent manner, turned his breech to the Jews, and spake such words as you might expect upon such a posture. At this the whole multitude had indignation, and made a clamor to Cumanus, that he would punish the soldier; while the rasher part of the youth, and such as were naturally the most tumultuous, fell to fighting, and caught up stones and threw them at the soldiers. Upon which Cumanus was afraid lest all the people should make an assault upon him, and sent to call for more armed men, who, when they came in great numbers into the cloisters, the Jews were in a very great consternation; and being beaten out of the temple, they ran into the city; and the violence with which they crowded to get out was so great, that they trod upon each other, and squeezed one another, till ten thousand of them were killed, insomuch that this feast became the cause of mourning to the whole nation, and every family lamented their own relations. (Josephus, The Wars Of The Jews, Book 2, Chapter 12, Paragraph 1) http://www.ccel.org/j/josephus/works/war-2.htm
Jesus violated Roman law in some way, plus we well know that the Romans couldn't care less about Jewish Law as long as we kept the order and paid their taxes. Evidence for this is that the Romans allowed for us to create the Great Sanhedrin whereas we could perform our own functions and also police ourselves.
Therefore, exactly which Roman law did Jesus violate or threaten in some way, and this is what the real question should be. The chasing of the money-changers makes sense as possibly meeting that criterion, but also so does Jesus talking about his "kingdom". "Blasphemy" does not meet that criterion.
Also, because of the rift between Jesus' followers and most Jews, there would be an incentive for the authors of the "N.T." to place as much blame on the Jews who didn't convert as possible. IOW, demonize the opposition.
So, do the gospels capture exactly what happened? Too hard to say since all scripture is subjective. But one thing is quite clear, and that is that Jesus in some way threatened the Romans besides saying things that most Jews simply did not agree with and may have considered threatening in some way, possibly in regards to keeping the order.