All Jews are Israelites, descended from Jacob (Israel).
But not all Israelites are Jews, only those descended from Jacob’s son Judah. David and his descendant kings, including Jesus, were Jews.
After King Solomon died and the Kingdom of Israel split, ten idolatrous tribes took the northern lands and retained the name “Israel.” Two tribes remained in the south (Judah and Benjamin), and they became the Kingdom of Judah, the Jews. Ten tribes in the north + two tribes in the south = twelve total.
Israel was taken into captivity by the Assyrians, and Judah was exiled (and Jerusalem and the temple destroyed) by the Babylonians as a result of idolatry.
The Jews were eventually allowed to return and rebuild and repopulate Judah and Jerusalem. However, the ten northern tribes, the “lost tribes”, were scattered throughout the Assyrian lands and dissolved into other cultures.
Right, the Moslems are not Jews ...
What does "King of the Jews" mean to you ?
So when the Lord Jesus said to the Canaanite woman:
“.. I am not sent but unto the lost sheep of the house of Israel.”,...
..He was not referring to the entire 12 tribes?
Are you using the name of Israel as two nations: one Judah, and the other (so called ‘lost’) tribes, in order to achieve you opinion?