Israelite vs Jew

Israelite and Jew both are nouns.

Word	Noun	Adjective	Verb	Adverb
Israelite	Yes	No	No	No
Jew	Yes	No	No	No

As nouns, Israelite and Jew are synonyms defined as:

Israelite and Jew: a person belonging to the worldwide group claiming descent from Jacob (or converted to it) and connected by cultural or religious ties

Other synonyms of Israelite include Hebrew.

Israelite (noun)	Jew (noun)
a native or inhabitant of the ancient kingdom of Israel	a person belonging to the worldwide group claiming descent from Jacob (or converted to it) and connected by cultural or religious ties
a person belonging to the worldwide group claiming descent from Jacob (or converted to it) and connected by cultural or religious ties