So where ever you see Judah or (house of) in the Bible change it to Judahite and whenever you see Jew change it to Judean and know that Judea was Ruled by Edomites (Jews) who were NEVER Hebrews.
Jew is a term that came about in the Middle ages. It means the Edomites that started to worship the Talmud after the fall of the Second Temple.
https://biblicisminstitute.wordpress.com/2014/09/10/a-brief-history-of-the-kingdoms-of-israel-and-judah/"In the ninth year of Hoshea, the king of Assyria captured Samaria and deported the Israelites to Assyria. He settled them in Halah, in Gozan on the Habor River and in the towns of the Medes.” 2 Kings 17:6
Hence, all 10 tribes of Israel were scattered throughout the nations of the Assyrian Empire which didn’t include the Caucasus region, as many in our time are peddling in order to make converted Jews of today, who originate from there, appear Hebrews when they’re not.
Judah was divinely protected in the midst of the nations of the Assyrian Empire.
Out of the 12 tribes only Judah pulled through as a tribal entity with land, the tribe of the Levites sheltered therein.
“There was none left but the tribe of Judah only.” 2 Kings 17:18
However, the great majority of the tribe of Benjamin escaped the Assyrian scattering, and took refuge between the shoulders of God’s anointed tribe, Judah.
“This is what the LORD Almighty says: ‘In those days ten people from all languages and nations will take firm hold of one Judahite by the hem of his robe and say, “Let us go with you, because we have heard that God is with you”.’ ” Zechariah 8:23
The Judahites were the only Hebrews left. Jesus was a Judahite. The Jews of today are Edomites. Edomites were NEVER Hebrew. So yes, Jesus was not a Jew (Edomite) like King Herod and all the Jews (Edomites that followed after him). Jesus was one of the last Judahites (Hebrews)