While I finish sketching out the 1765 update, a note on population.
IOTL, the Jewish population in the Galilee increased steadily through the 16th century. Exact numbers are impossible to determine because Ottoman censuses counted households rather than people, but households were multi-generational and large families were common, so the 232 Jewish households present in Tzfat/.Safad in 1525 probably amounted to 1200-1500 individuals. By 1553, there were 716 Jewish households and 56 Jewish bachelors, rising to 945 households in 1567-68 (apparently bachelors were not counted in this census) and an estimated 7000 people in 1576. Tzfat accounted for nearly all the OTL Jewish population - Tiberias was largely deserted during this period and the villages such as Peki'in accounted for less than 100 households.
ITTL, the population curve starts to diverge in the 1560s - the early days of the Sanhedrin wouldn't have much effect on migration patterns, and the upheaval of that period might actually discourage some Jews from moving in. After 1561, though, Joseph Nasi is actively recruiting Italian Jews and investing money and resources in his settlement project. There were maybe 20,000 Jews in Italy at this time - again, hard numbers are impossible, not only due to sketchy censuses but because of a series of expulsions that caused forced migration from city to city. Let's say Nasi recruits about a quarter of them, particularly those in the Papal States, and that he also finances the migration of a couple thousand Sephardim from the Maghreb. So instead of the ~8000 Jews who lived in the Galilee IOTL at the time of Nasi's death in 1579, there would be about 15,000 ITTL, making them a majority in Tzfat and Tiberias (the latter of which Nasi actually succeeded in rebuilding ITTL) and a larger minority in the villages where Nasi encouraged the growth of silk production and wine-making.
The migration would continue at a slower pace during Reina Nasi's rule (1579-96) and the early days of the theocracy; a lot of the low-hanging fruit has been picked, but funds for resettlement are still available. Between that and natural increase, we might see a TTL population of 20,000 to 25,000 by the time of the 1634 siege, which means I need to retcon my prior mention of "thirty thousand strong" but is still substantial and is a sharp divergence from the decline that the Galilee Jews were undergoing at that point IOTL.
After the siege, migration becomes much more episodic. There would be an influx of Polish Jews after the Khmielnitsky pogrom of 1648-49, some substantial pilgrimages such as the one shown in the 1700-01 vignette, and individual families, but probably no more than 5000 to 7000 throughout this period - we're getting to the time when England and the Netherlands were closer and more attractive destinations for Sephardic and eastern European refugees, and many of the Jews sold as slaves by Khmielnitsky's Cossacks would return home or settle in Constantinople or Salonika after being ransomed rather than going to the Galilee. Set against that are the losses from the siege itself and from epidemics - the smallpox of 1700-01 is the worst, but epidemics of one kind or another are a fact of life in any premodern city. So the Jewish population of the Galilee in 1730 ITTL might be little more than it was in 1634 - which is still far more than OTL and would likely make Jews a plurality in the eastern Galilee and 8 to 10 percent of the total population of Ottoman Palestine, but definitely means that Zahir al-Umar is able to vassalize them rather than the other way around.
Anyway, trends are going to change again in the mid-18th century, and the Jewish population is also going to become more diverse, both in ways that I've foreshadowed and at least one that I haven't.
IOTL, the Jewish population in the Galilee increased steadily through the 16th century. Exact numbers are impossible to determine because Ottoman censuses counted households rather than people, but households were multi-generational and large families were common, so the 232 Jewish households present in Tzfat/.Safad in 1525 probably amounted to 1200-1500 individuals. By 1553, there were 716 Jewish households and 56 Jewish bachelors, rising to 945 households in 1567-68 (apparently bachelors were not counted in this census) and an estimated 7000 people in 1576. Tzfat accounted for nearly all the OTL Jewish population - Tiberias was largely deserted during this period and the villages such as Peki'in accounted for less than 100 households.
ITTL, the population curve starts to diverge in the 1560s - the early days of the Sanhedrin wouldn't have much effect on migration patterns, and the upheaval of that period might actually discourage some Jews from moving in. After 1561, though, Joseph Nasi is actively recruiting Italian Jews and investing money and resources in his settlement project. There were maybe 20,000 Jews in Italy at this time - again, hard numbers are impossible, not only due to sketchy censuses but because of a series of expulsions that caused forced migration from city to city. Let's say Nasi recruits about a quarter of them, particularly those in the Papal States, and that he also finances the migration of a couple thousand Sephardim from the Maghreb. So instead of the ~8000 Jews who lived in the Galilee IOTL at the time of Nasi's death in 1579, there would be about 15,000 ITTL, making them a majority in Tzfat and Tiberias (the latter of which Nasi actually succeeded in rebuilding ITTL) and a larger minority in the villages where Nasi encouraged the growth of silk production and wine-making.
The migration would continue at a slower pace during Reina Nasi's rule (1579-96) and the early days of the theocracy; a lot of the low-hanging fruit has been picked, but funds for resettlement are still available. Between that and natural increase, we might see a TTL population of 20,000 to 25,000 by the time of the 1634 siege, which means I need to retcon my prior mention of "thirty thousand strong" but is still substantial and is a sharp divergence from the decline that the Galilee Jews were undergoing at that point IOTL.
After the siege, migration becomes much more episodic. There would be an influx of Polish Jews after the Khmielnitsky pogrom of 1648-49, some substantial pilgrimages such as the one shown in the 1700-01 vignette, and individual families, but probably no more than 5000 to 7000 throughout this period - we're getting to the time when England and the Netherlands were closer and more attractive destinations for Sephardic and eastern European refugees, and many of the Jews sold as slaves by Khmielnitsky's Cossacks would return home or settle in Constantinople or Salonika after being ransomed rather than going to the Galilee. Set against that are the losses from the siege itself and from epidemics - the smallpox of 1700-01 is the worst, but epidemics of one kind or another are a fact of life in any premodern city. So the Jewish population of the Galilee in 1730 ITTL might be little more than it was in 1634 - which is still far more than OTL and would likely make Jews a plurality in the eastern Galilee and 8 to 10 percent of the total population of Ottoman Palestine, but definitely means that Zahir al-Umar is able to vassalize them rather than the other way around.
Anyway, trends are going to change again in the mid-18th century, and the Jewish population is also going to become more diverse, both in ways that I've foreshadowed and at least one that I haven't.