This is my first (real) timeline, so it may need some work. But here it goes:
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In 1929, David Ben-Gurion convinces the Histadrut Executive Committee (HEC) to adopt a more communist angle of Socialism for their methods. The Histadrut over the last decade grew from a small socialist-zionist organization to a large body of money and jobs to many in British Palestine.
David Ben-Gurion after a tough fight to get his plan passed through the HEC, he plans to bring it to a Histadrut Convention. The Histadrut Convention is the real authority behind the organization. The Convention debated the proposal, and eventually supported it.
A year after the Convention, David Ben-Gurion along with others, founded Mapai, a labor party. With the talks of a more communist angle to the Palestine plans of the Yishuv, Mapai was made to go back to support the pre-1929 Socialist angle. DBG then went to the revisionists, in a pact with the devil, to secure support with them for his communist plan. Also, the General Zionists, a group by Zionist Congress President Chaim Weizmann, supported a more capitalistic-socialist view with all this going on.
1933: Elections for the next Zionist Congress. Mapai attempts to form a coalition with the General Zionists, but fail. Mapai quickly changes to a communist view to gain a plurality coalition with some revisionist break-offs.
1935: Elections. 75% of seats were either DBG's Mapai, and the Revisionists B. Revisionists B were the formal break-off group that started the coalition in the 1933 Congress. Mapai has the largest of the coalition with 49% of seats and the Revisionists B have 26%. The Congress elects a tripartite Presidency, the first ever, with Ze'ev Jabotinsky (the head of Revisionists B), Chaim Weizmann (head of General Zionists), and David Ben-Gurion (head of Mapai)
1937: Mapai gets a majority of seats with 53% of the votes. Revisionists B get 10% of the vote with many going to DBG's growing side due to his growing support and popularity. Revisionists A, Communist, but in favor of a more Soviet form of Communism get 15%. General Zionists get 22%.
DBG is made sole President of the Congress as well as the Chairman of the Jewish Agency Executive. From that major role, he continues to spread his communist message. He visits Russia for the second time (first was early 1920s OTL) and meets with Kremlin officials. With this, they officially "consider" the idea of Zionism.
1938: The Histarut, which adopted most of DBG's communist ideas, fully puts them into place after long delay by protesting laborers.
1939: In the last pre-war Congress, Mapai gets 55%, Revisionists B get 7%, Revisionists A get 8% and the General Zionists get 30%. Chaim Weizmann, as head of the GZ and a proponent of a more socialist plan for the Yishuv, proposes a grouping of GZ and Mapai for a broader force in the Congress, as in this one, DBG failed to get Rev B with him.
David Ben-Gurion continues as President of the Congress, while making Chaim Weizmann the chairman of the Jewish Agency Executive.
The British issue the White Paper. (OTL)
1942: The United States issue an endorsement of the plan for a Jewish homeland in Palestine at the Biltmore Conference. (OTL)
1944: The USSR endorse Zionism, but fail to endorse the idea for Israel. They feel that they need a friend in the mideast after the war fully concludes.
1946: First Post-war congress makes Revisionist B leader, Jablonsky the Chairman of the Jewish Agency Executive, with DBG as President again, and Weizmann a Soviet Envoy. Before he leaves for Moscow, he says that "David's idea for a communist Yishuv will greatly benefit the people of the land". The Mapai coalition grows to 77% of the Congress.
1947: Most Revisionists merge into Mapai and the planned Congress for 1948 is postponed indefinetly as the fight against the British continues.
1948: In Tel-Aviv, David-Ben Gurion announces the establishement of the State of Israel after the UN Partition Plan is approved by the UN General Assembly. He becomes the de facto Prime Minister and Minister of Defense with Jablonsky in the ceremonial role of the Presidency.