Does the term "Israel" have in view the northern kingdom?

Ezra 2:2 (ESV)

2 They came with Zerubbabel, Jeshua, Nehemiah, Seraiah, Reelaiah, Mordecai, Bilshan, Mispar, Bigvai, Rehum, and Baanah.The number of the men of the people of Israel:

The use of the term Israel to refer to the people is not placing emphasis on the northern kingdom but the fact that this restoration community is heir to the biblical covenants.1 The people who come back from exile are the people of God. They are the Israel of God.