Jewish Christians do when they talk to lost Jews. The new testament is rejected by the Jewish lost, so they use the old testament to prove Jesus was their Messiah.
And of course, we must remember that while Jesus, the Messiah, was promised to Israel, He was prmise long before there were any children of Israel, or and Jews or Hebrews. He was forst promised to Adam and Eve, later to Abraham, etc. He was technically first promised to Gentiles. To continue to insist there was some special gospel just to the Jews is silly.