there are no "people of God" as I very much doubt that anyone has ever lived up to that standard.
A point of clarification: In Jeremiah, the "people of God" are the ones who have turned away from God and then return. They are not perfect saints.
Jeremiah 30:3, 18, 22
כי הנה ימים באים נאם־יהוה ושבתי את־שבות עמי ישראל ויהודה אמר יהוה והשבתים אל־הארץ אשר נתתי לאבותם וירשוה׃
For, behold, the days come, says the Lord, when I will bring again the captivity of my people Israel and Judah, says the Lord; and I will cause them to return to the land that I gave to their fathers, and they shall possess it.
כה אמר יהוה הנני־שב שבות אהלי יעקוב ומשכנתיו ארחם ונבנתה עיר על־תלה וארמון על־משפטו ישב׃
Thus says the Lord; Behold, I will bring back the captivity of Jacob’s tents, and have mercy on his dwelling places; and the city shall be build upon her own mound, and the palace shall stand where it used to be.
והייתם לי לעם ואנכי אהיה לכם לאלהים׃
And you shall be my people, and I will be your God.