And, Baldwin’s position on Israel is?
Standard palaeo hostility (the USA being the "new Israel" in the Rushdoonian "reconstructionist" worldview). Baldwin used to be with Jerry Falwell's Moral Majority but the Birchites got to him and he turned against Israel.
Keyes was rejected because he is pro-Israel, and the CP honchos regard the "Zionists" as the "secret power" behind the "new world order."