Judaism does not stem from Zoroastrianism. Judaism evolved over time, and during the Babylonian Exile, they were exposed to Zoroastrianism and were influenced by it. You need to state the matter more accurately.
Zoroastrianism may have made some influence on Judaism after the exile, but its main influence was on sects like the Essenes with the dualistic nature good and evil, God and Satan, light and dark. This seems to have bypassed mainstream Judaism, which stuck by its more ancient middle eastern influences. The dualistic nature of Christian belief and apocalyptic dogma shows that Zoroastrianism had a greater influence than on Judaism.
Zoroaster is a Persian prophet who appeared around 1000 BC, and is likely a descendant of Abraham through his third wife Katura, since they settled in Persia. In that respect, Moses would appear to predate Zoroaster. Still, the Magi who came bearing gifts for "He who is born the king of the Jews" were Zoroastrian priests.
In that respect, Zoroaster must have foretold the coming of Jesus, just as he foretold the coming of "the religion of the Arabian", which is Muhammad; "Hushidar", which refers to the Bab; and "a descendant of the Iranian kings", which is a reference to Baha'u'llah, the Prophet and Founder of the Baha'i Faith which began on May 23,1844 with the Declaration of the Bab, the Herald of Baha'u'llah, and the birth of Baha'u'llah's Son, Abdu'l-Baha on the same day.
Zoroastrianism is one of the four Abrahamic religions that foretell the coming of Baha'u'llah. Most of the recorded writings of this religion have been lost to history, but as Baha'u'llah says, "All the prophets of God proclaim the same Faith."
So in that respect, the answer is "Yes" all the religions apply to each other, since they come from the same God. Only the name of the Messenger and the time of His appearance differ.
Zoroastrianism was the first monotheistic religion. Zoroastrianism and Judaism have things in common, like God being represented by fire. Zism believed in an after life. Zism also believed in angels.