I assume that Sabbateans made their way outside of the Near East.
In an attempt to nail down the definition of this secretive sect a little more, let's compare a few sources:
From the Jewish Encyclopedia, a definition of the Donmeh:
A sect of crypto-Jews, descendants of the followers of Shabbethai Ẓebi, living to-day mostly in Salonica, European Turkey: the name (Turkish) signifies "apostates." The members call themselves "Ma'aminim" (Believers), "Ḥaberim" (Associates), or "Ba'ale Milḥamah" (Warriors); but at Adrianople they are known as "Sazanicos"(Little Carps)—a name derived either from the fish-market, near which their first mosque is supposed to have been situated, or because of a prophecy of Shabbethai that the Jews would be delivered under the zodiacal sign of the fish. The Dönmeh are said to have originated with Jacob Ẓebi Querido, who was believed to have been a reincarnation of Shabbethai.So far this agrees with what Henry Makow wrote about the Sabbateans:
The community is outwardly Mohammedan (following the example set by Shabbethai); but in secret observes certain Jewish rites, though in no way making common cause with the Jews, whom they call "koferim" (infidels).
But they didn't just pretend to be Muslims or Christians. They pretended to be Jews as well.
In other words, the Sabbatean "religion" is not Christian, or Muslim, or Jewish, exactly, in the way that most Christians think of Jews as simple Torah Jews, using the first five books in the bible, which Christians consider harmless. But there are other Jewish texts, like the Talmud, the Cabala and the Zohar, and many Jews who consider these other books more important than the Torah. Sabbateanism is both Satanic and Cabalistic, and Zevi was the so-called Jewish "messiah." So the movement belongs to Judaism, even if some would like to deny paternity.
What is the link to Spain about? During the Spanish Inquisition of the late 1400s, crypto-Jews were rooted out of society. This third source (http://www.cryptojews.com/gad_nassi.htm) links the Sabbateans to the Sephardi Jews who were expelled from the Iberian peninsula and ended up in Turkey. These Sephardi Jews had presumably established a crypto-Jewish culture in Turkey long before Sabbatai Zevi proclaimed himself the Jewish "Messiah" in 1666.
Pretending to convert, ie: being a crypto-Jew, was no big deal.
It was Sabbatai Zevi's belief system that made the Sabbateans a crypto-sub-culture (Donmeh) of existing crypto-Jewish culture, in Turkey.
Zevi based his beliefs on a satanic strain of Cabalism (the Zohar), and some rabbis denounced him and his followers. Undeterred, he became very popular, attracting over a million followers. His followers would later avenge the snub.
The Mystical Jewish Messiah of the 17th century, Shabbetai Tzvi, promised to depose the kings of the earth, unite the ten lost tribes and restore Israel. When Shabbatai approached the Sultan he thought that the Sultan would have the humility to recognize his greatness and humble himself. The Sultan would have met a man who was clearly greater than himself. Shabbatai would receive the Sultanate and rule the known world. He originally intended to accomplish these goals overtly, however, when the Ottoman ruler threatened to kill him rather than hand over his throne, Shabbatai Zvi understood that he had to take his messianic movement underground. His goals had to be achieved with stealth and deception. His movement was labeled “Apostate Messianism”. Though he would loose the open support of most rabbinic authorities and mainstream Judaism, his faithful followers would be assigned the task of continuing his mission.
Forty-one years after Shabbetai Tzvi’s physical death, his hidden followers would establish Freemasonry in England. Freemasonry would continue Shabbetai Tzvi’s agenda of achieving world rule. Freemasonry linking up with Illuminism has indeed, through revolution and wars, overthrown the monarchies of the world. Freemasonry/Illuminism has taken the reins of the Jewish, Catholic (Vatican) and the Islamic world, united the remnant of the lost tribes through the establishment of the European Union and has “restored” Israel. The infidel “rabbinic” European Jews who had abandoned Shabbatai Tzvi were decimated by the Freemasonic Holocaust of World War II. The Masonic State of Israel would be granted independence by the Masonic United Nations.Click through for an amazing time line.
So the Donmeh are the Near East Sabbateans.
But there must be other Sabbateans, otherwise how else would they have accomplished all of Sabbatei Zeti's goals?
Did Shabbetai Tzvi have offspring? Yes. Where are they now? Where is this Messianic Dynasty? Have they vanished into obscurity? History leaves us no clues. Or does it? Perhaps Shabbatai did succeed in his messianic takeover of the planet. Perhaps his offspring did manage to fulfill the mission of their prophet-proclaimed Messiah father? I suggest that the family Rothschild are direct descendents of the messiah, Shabbatai Tzvi. Shabbatai Tzvi said that he would rebuild Israel. The Rothschilds did. He said that he would re-unite the lost tribes that had been spread out throughout the world. Has this been accomplished through the United Nations? Is the UN a project of hidden Rothschild influence designed to bring world peace? A Rothshild-Shabbatai Tzvi connection would also explain the Rothschilds' relationship to the mystical Jacob Frank, a co-creator of the Illuminati, who claimed to be the reincarnation of Shabbetai Tzvi. It would also explain the Rothschilds strange obsession with their bloodline and their custom of intermarrying amongst themselves. Was this practice determined to keep the royal messianic blood from assimilation? A Rothschildian/Messianic relationship would also explain their lavish and opulent lifestyle. Why shouldn't the direct descendants of the messiah live within the finest palaces on Earth?
It should therefore come as no surprise that there is a strong family resemblance between Shabbatai Tzvi and the Family Rothschild.
Shabbetai Tzvi (1626-1676)
Mayer Amschel Rothschild (1744-1812)
Edmund de Rothschild (1845-1934)
Gustave de Rothschild (1829-1911)