Why did the Jews want to stone Jesus?

Because He claimed to be equal to God His Father.

ultimately yes, the short answer is the penalty under Jewish law for such a claim was death by stoning. Was there more to the reasoning in the minds of the high priests and elders of the faith? Was there something to suppress, or some reason they were trying to silence Jesus because of the content; the truthfulness of his words? Was there some sense of them believing he was supplanting them and that he must be gotten rid of? They did seem to make an unusually concerted effort to silence, or in today's culture, "cancel" him. Jewish law mandated stoning, yet somehow the Jews were unable to carry that out, so they took it and their claim to the next level, they went to the Roman authority and claimed Jesus claimed himself to be king - a king to stand in opposition to Caesar: "If you release him, you are not a friend of Caesar. Everyone who makes himself a king opposes Caesar" (Jn. 19:12). The chief priests then added, "We have no king but Caesar" (Jn. 19:15). The intensity and determination to have Jesus "cancelled" strikes me as more than a common attention seeker, or delusional psychopath telling fantastic stories. There is a reason, in my mind, why the high priests and elders were willing to go to such extremes as to violate two of the tenets of their faith: "You shall not bear false witness" and, in declaring their fealty to Caesar, who in Pagan tradition held a position of deity, "You shall have no other gods before me". It is an amazing parallel between this event, the event when Herod felt threatened by the child born king whom the Magi sought and Pharaoh who felt threatened by the growth of the nation of Israel. Each let their fear of losing god-like status  drive them to murder.