Problem #1:
Pre-Roman-era Judah was approximately coextensive with modern metropolitan Jerusalem.
Pre-Roman-era Israel was even smaller.
Pre-Roman-era Samaria was about the same, and frequently at war with the other two.
Combined, they cover a tiny area of modern Palestine.
Problem #2:
Most of the Jewish community in Judah and Israel abandoned Judaism after the (humiliatingly failed) Bar Kokhba revolt of 132-136. Their descendants intermarried with other faiths during the long centuries of peace, and call themselves Falesteen.
Guess what that ethnonym is in English?