Those are all Abrahamic faiths that derive from a single common theology, that of Judaism. As such, they have a great deal in common. Both Christianity and Judaism, for example, teach the Old Testament. Possibly Islam as well, though I'm not sure about that - after all, Islam teaches that Muhammad was simply the last in a long line of Prophets that includes Jesus and the Old Testament Prophets. I think that your argument would not fare as well were you to use Christianity and Hinduism, or Judaism and Buddhism.
