It was not unified, but support had already begun to build quite significantly. However, even after the Holocaust, the question of a Jewish state was still difficult to consider. While support grew for the idea of a Jewish state in the West, there were still plenty who felt it would be a bad idea. In fact, much of President Truman's State Department continued to insist that the creation of a Jewish state was a bad idea, well after the end of WWII.
For example, just a few days before the Israeli declaration of independence, Truman argued that:
In an area as unstable as the Middle East, where there is not now and never has been any tradition of democratic government, it is important for the long-range security of our country, and indeed the world, that a nation committed to the democratic system be established there, one on which we can rely. The new Jewish state can be such a place. We should strengthen it in its infancy by prompt recognition
However, this conflicted with the views of other officials, including General George Marshall, who served at the time as Truman's Secretary of State. Marshall reportedly opposed recognizing the Jewish state, according to Ambassador Richard Holbrooke. Other officials also argued against recognition, and others had put forward arguments against partition in 1946 and 1947. The Office of Near Eastern Affairs wrote a lengthy memo opposing the UN partition plan proposed in 1947, and any partition, as well.
This was no different in many other corners of the West. In the UK, opposition to partition was quite common, despite the Holocaust. While it never took on official policy, which was formally neutrality, there were significant factions of the British government that opposed Israel's coming into existence.
Before the Holocaust, support had already begun to build, however. The British themselves had proposed partition in 1937, and the creation of a Jewish state. While Roosevelt was never very keen on the idea, he also did have some sympathies for the cause of Zionism in general; he simply stated he would not take action without the agreement of the Arabs, which predictably was to oppose any Jewish state. Support had already become more significant in part due to the rising awareness of the cause and rising support among Jews themselves, as well as the fast-growing Jewish population in the area through immigration that made it more of a fait accompli and increased the negotiating power of Jews in the question of how to create a political solution.
Edit: Lo and behold, I found today a post in the wonderful Mosaic Magazine by historian Efraim Karsh describing how Truman crossed his own State Department in recognizing Israel.