Israelites are the Jews of today. DNA found that most Jews (both, Easterners and Westerners) come from Israel Palestine region. According to a scholar friend of mine who is Jewish, the Jewish law states that a convert becomes an Israelite too. So basically, most Jews today - their origin is from the Israelites. The strongest evidence is the historic unbroken chain of persecution since post Jesus (who was also an Israelite, AKA - Jew) till Hitler and beyond... It also made sure that the percentage of assimilation were minimal. The first time the Israelites Hebrews were called as plain Jews, is in the Bible is in the book of Esther.