Israel vs Israelite

Israel and Israelite both are nouns.

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

Israel (noun)	Israelite (noun)
Jewish republic in southwestern Asia at eastern end of Mediterranean; formerly part of Palestine	a native or inhabitant of the ancient kingdom of Israel
an ancient kingdom of the Hebrew tribes at the southeastern end of the Mediterranean Sea; founded by Saul around 1025 BC and destroyed by the Assyrians in 721 BC	a person belonging to the worldwide group claiming descent from Jacob (or converted to it) and connected by cultural or religious ties