Yisrael vs State of Israel

Yisrael and State of Israel both are nouns.

Word	Noun	Adjective	Verb	Adverb
Yisrael	Yes	No	No	No
State of Israel	Yes	No	No	No

As nouns, Yisrael and State of Israel are synonyms defined as:

Yisrael and State of Israel: Jewish republic in southwestern Asia at eastern end of Mediterranean; formerly part of Palestine

Other synonyms of Yisrael include Israel, Sion, Zion.

Yisrael (noun)	State of Israel (noun)
Jewish republic in southwestern Asia at eastern end of Mediterranean; formerly part of Palestine	Jewish republic in southwestern Asia at eastern end of Mediterranean; formerly part of Palestine