Ishmael was born to Abram and Hagar. Hagar was Sarai's handmade. There were two promises made concerning Ishmael and his descendants that are important to mention.
Genesis 17:20 "And as for Ishmael, I have heard you. Behold, I have blessed him, and will make him fruitful, and will multiply him exceedingly. He shall beget twelve princes, and I will make him a great nation.
Ishmael's descendant were given the land of Palestine as an inheritance. It was an unconditional promise. So there is no connection with their behaviour.
True Physical Israel
Israel was given the land as well, but it was a conditional promise based on behaviour which is why Israel still does not live in the land of Palestine. Israel, however was promised another land.
The descendants of Jacob Israel are today's Caucasian peoples who have been called by a name of God, Christians.
Today's Modern Jews
Today's modern day Jews descend from Japheth through his grandson Ashkenaz the son of Gomer. Some of them do have a tie back to Abraham, see John 8:33. Since all of Israel went through the Egyptian bondage we know that they were not Israelites. Their connection is through Esau/Edom whom God hates.
Most of what you have read about above is well documented on this web site, the writings of the modern day Jews themselves and verified by God in scripture. One does not need to look very far to prove what is above.