Maybe Britain and anti-Zionist Jews accept the proposal for settlement of Jews in Kenya/Uganda. It really isn’t a new homeland at first. Mostly Orthodox Jews move there at first. It’s more of a place to get away from anti-Semitism in Europe. Britain wants to develop the region and many Jews want a place where they don’t have to worry about being persecuted.
The Orthodox Jews being majority of first settlers would help modernize agrarian economy in region especially with Britain helping and cheap local labor. Western European Jews and British Empire Jews are first urban populations to settle there. The Orthodox Jews likely become the majority after ww1 in colony. Soviets taking over and anti-Semitic regimes would drive them to leave. This land in Kenya/Uganda is depicted as somewhat of an alternative to Zionism. The Orthodox Jews counter solution to their opposition of Zionism.
Many of reform and more secular Jews who were often more assimilated would not leave Europe until 30s and ww2 especially when Nazis come around but but unlike the older generations or Orthodox Jews in this now British Jewish dominion/colony they don’t intend on staying and still demand for Israel. Unlike otl, they barely escaped the Holocaust but Europe is even more depopulated of Jews then otl after the war. Kenya/Uganda isn’t a Jewish homeland. It’s more of a much nicer British version of the Pale Settlement until after ww2. The gas chambers and Nazis war crimes still happen but other groups replace the Jews in those death camps.
Israel is much harder point to push but with US and USSR supporting against a more resilient UK could still give in on Israel like otl. The Kenya/Uganda area is majority Jewish even going into the 30s. The natives likely get pushed to side or exploited by new settlers. The UK gives Jews Israel thinking most will move there now. To their surprise the Orthodox Jewish population in Kenya/Uganda protest the decision. Some even attack Zionist Jewish refugees from Europe in the colony. This only strengthens the Zionist point about needing a “true” homeland to protect them from stuff like this.
Israel is established similar to otl but is even more secular and left wing then otl. Kenya/Uganda actually don’t become independent until later when decolonization happens. UK role in establishment of Israel and decreasing military aid in Africa sees the Orthodox Jews in Uganda/Kenya declare independence. Due to high number of immigrants over decades and high birthrates they are a solid majority unlike most settler colonies. UN and UK isn’t exactly happy about it but can’t use majority rule against them like apartheid regimes. Also Ethiopian Jews would move in most likely.
One Jewish nation could speak Hebrew while other speaks Yiddish. Both can present the divide in Jewish community to give clear reason for division between the two. Secular nationalistic Israel and a “New Judea” who is Orthodox and anti-Zionist due to religious reasons. They could even draw parallels from past and label each other as traitors or false followers.
New Judea lobbies more with the Muslim world maybe? When Britain pulls out of Tanzania the new Jewish nation north might come in on the Arab side. The non Orthodox Jews in New Judea could even be more often from the Islamic world to make that connection stronger while Israel is more European/western then otl in demographics. New Judea isn’t supporting Gaddafi or Saddam but more the monarchs. This and a strict anti communist stance makes them close American allies along with Israel. Either like each other but it’s more like the relationship Israel has with Arab monarchs instead of dictators.
New Judea and Arab monarchs both don’t like Israel. Both probably even work together to talk bad about them or throw dirt especially with no Holocaust for them. New Judea likely supports Arab monarch off the coast of Tanzania and maybe helping stabilize or prop regime in Somalia. They might even help out in Yemen due to distance and Jewish population there they might help extract. They might also support the apartheid and colonial regime nearby. Depending on how they deal Tanzania that can have big butterflies. Arab monarchs, New Judea(Kenya, Uganda, and probably some border regions), Portuguese empire, South Africa, Rhodesia, Arab/Muslim Zanzibar, puppet Congo, Katanga, Somalia(still unstoppable but more Yemen like), and Sudan could be a helpful string of allies. I doubt many Africans or its leaders like the Jewish settler colony. Ethiopia might come to odds with them but get surrounded by their allies. The Muslims especially Arabs don’t want to be part of decolonization process too. They just want Europe to experience it not them.
New Judea and Israel would both have good living standards and economics but different in every other way. New Judea could be Orthodox state that has Saudi type laws. For example women have to wear certain clothes and walk on certain side of the street. This is why many reform and secular Jews did not won’t to stay and still demanded Israel be given to them. Israel is even more culturally liberal then otl and more so then much of the west itself at an even earlier point. Israel would also be much more militaristic then New Judea who has more of a policing type and defense military that is made to deal with issues in Africa(fighting warlords, partisans, fractured nations). Israel is military is more conventional and has mass conscription like otl if needed.
The Muslims especially Arabs would love New Judea because they will use them as place to send Israelis too when topic comes up. New Judea claiming to be the only “true Jewish” or followers of the faith to make them even more like in Muslim and Arab world.