if you really want to dig in, you will have to reckon with the fringes:
"The answer is easy, Jesus is not a Jew because the people known as Jews today are not of Judah. The Bible itself tells us this.
For this reason Jesus Himself told the church at Smyrna, in Revelation 2:9: "I know thy works, and tribulation, and poverty, (but thou art rich) and I know the blasphemy of them which say they are Jews, and are not, but are the synagogue of Satan."
Just in case that is not understood, Jesus also said to the church at Philadelphia, in Revelation 3:9: "Behold, I will make them of the synagogue of Satan, which say they are Jews, and are not, but do lie; behold, I will make them to come and worship before thy feet, and to know that I have loved thee."
So according to Jesus Himself, the people calling themselves Jews at this time are not "real" Jews, meaning that they are not actually of the tribe of Judah."
https://christogenea.org/podcasts/society/exactly-why-jesus-christ-not-jew