Does Catholicism teach that the Wise Men from the East in fact, Jews settled in a far away place? At Matthew 2:16 (RSVCE), we read about the visit of the Wise Men to Infant Jesus, and the massacre of children  by Herod :

&quot;Then Herod, when he saw that he had been tricked by the wise men, was in a furious rage, and he sent and killed all the male children in Bethlehem and in all that region who were two years old or under, according to the time which he had ascertained from the wise men.&quot;

That implies that Child Jesus was nearly two years of age when the Wise Men reached Him. Surely, they should have come from a far away place.
The book &quot;Travel in the Mogul Empire AD 1656- 1668&quot; by Francois Bernier, with an English translation published in 1891 (available online on Rarebooks online State Central  Library, Kerala), cites the presence of settlement of Jews in Kashmir, India in ancient times. Of course, other parts of the world could also have had Jewish settlements at the time of Jesus' birth.
My question, therefore, is: Were the Wise Men from the East, in fact, Jews who had settled in a far away place, say India? What  do the teachings of Catholic Church say about such a prospect?
Given the accompanying texts to the Gospel that are read in the Epiphany of the Lord (based on the Roman Calendar), these magi might have well been non-Jews. 

For example, the first lecture, in the link above, taken from Isaiah, states:


  Caravans of camels shall fill you, dromedaries from Midian and Ephah; All from Sheba shall come bearing gold and frankincense, and proclaiming the praises of the LORD.


The genealogy of the Bible states that Midian, Ephah, and Sheba are, strictly speaking, not Jews (mainly descendants of Jacob).

Similarly, the Psalm reads:


  The kings of Tarshish and the Isles shall offer gifts;
  the kings of Arabia and S[h]eba shall bring tribute. All kings shall pay him homage, all nations shall serve him. 


So, given this context, there seem to be a suggestion that these magi were indeed non-Jews. Surely, these could have been Jews settled elsewhere, but the context of the quotes is that of non-Jews expressing homage to the Lord.

Another interesting answer comes from the Catholic Encyclopedia (not official doctrine but official in the sense that it has the Imprimatur). The entry on the magi states:


  The religion of the Magi was fundamentally that of Zoroaster and forbade sorcery; their astrology and skill in interpreting dreams were occasions of their finding Christ.


It also refers to non-biblical evidence:


  Herodotus (I, ci) is our authority for supposing that the Magi were the sacred caste of the Medes.


The Medes were non-Jews.