In examining the criticisms made by religious Jews regarding Jesus as a false messiah, I’m honestly not convinced. Why? Simple: a disconnection of terminology. A divergence in understanding.
Regarding the word “messiah”, typically speaking, (from my understanding) the word was used in the Tanakh to describe an anointed king. During the Second Temple period, the concept of “The Messiah” as a distinct figure began to emerge. Past an anointed king, there wasn’t one particular conception of who this figure was or what He was to do.
After the Romans came to power, certain Jewish people began looking for a person to topple the oppressive political structures and restore Jewish sovereignty. Many individuals came up, claiming to be this person. One by one, all had failed.
Then, Jesus of Nazareth came. He was different. He never claimed to be the person who will take down Roman oppression or restore the sovereignty of His people to their land. Rather, He claimed that His Mission was to save His People (and indeed, all people) from the penalty for their sins. He was not claiming to be an earthly king, but rather, the ruler of people’s hearts. This is what He meant by His Claim to be the Messiah, even alluding to Isaiah chapter 61 to inaugurate His Ministry.
This reality begs the question: why have Jewish people slandered Jesus of Nazareth as a false messiah, when the New Testament never records Him as making claims to do any of what THEY say the Messiah is supposed to do? Do they understand what HE actually meant?
In my eyes, He’s not false, just misunderstood. Religious Jews say certain things about the Messiah, but Jesus was talking about something else.
(Addendum: Religious Jews have also made the claim that Jesus was not observant of the commandments and taught His Followers to do the same. This is false. He was observant, and actually told His Followers time and again, “Keep the commandments.” “Obey the commandments.” “Repent, for the Kingdom of God is at hand.”)