So let me get this straight....
1) A Black Man creates a child with a White Woman: The child is an israelite...... (Half Black/Half White)
2) The (Half Black/Half White), creates a child with an Asian person: The child is an israelite.... (1/4 Black; 1/4 White; half Asian)
3) The (1/4 Black; 1/4 White; half Asian),creates a child with a White person: The child is an israelite.... (1/8 Black; 2/8 Asian; 5/8 White)
4) The (1/8 Black; 2/8 Asian; 5/8 White), creates a child with another White person: The child is an israelite... At this point the offspring is white....
^^^^Using your "not by color but by lineage" reasoning a white person can be an israelite....
And I thought true Israel could be found in the 4 corners of the earth; meaning nearly everywhere.... not just the western hemisphere....
I don't think Esau is the entirety of the white race just like Israel isn't the entirety of all Black people...