I understand the true Father of Jesus, but if you recall, they went to Bethlehem, the City of David, to be taxed when Jesus was born. His earthly lineage was primarily counted through Joseph in the Jewish perspective.
Jesus is a direct descendant of King David on both Joseph and Mary’s sides
As I understand, the Jewish faith, is passed from the mother’s side but as to actual lineage, Jesus, though only Son of His Father, was Jewish, both fully man, to understand us, yet fully God to forgive us.