Sorry to bother again, but Mr. Dfwgator is right in his assessment that the Labour Party indeed had viable plans to manage the most pressing issues which followed the cessation of hostilities: feeding the nation, providing clothing, basic medical services and a roof over the heads of those who had lost theirs.
One of those things was also allowing mass immigration from the colonies, especially Jamaica. Would that have happened under the Tories?
To be honest, I am not really sure. The British Nationality Act of 1948, which enabled this migration, was drafted at the pinnacle of enthusiasm for the new concept of the British Commonwealth.
This was supposed to supplant the British Empire, which by now was on its last legs, and (unfortunately, as we now know, but hindsight is always 20/20🙁) the British government wanted to save what was salvageable, so to say.
After WW2, Britain‘s colonies and dominions had decided to introduce citizenships of their own, abandoning the old common citizenship status of „British subject“, which was considered obsolete by then.
And, iirc, the new act had support from both Labour and the Conservatives, because at that time hardly anyone believed in mass migration to the British Isles.
Wikipedia does have an article on the subject which is quite good: https://en.wikipedia.org/wiki/British_Nationality_Act_1948
Still, I am sure that it would not have passed if its consequences could have been foreseen 🙁
Immigration from the Caribbean didn't get going on any scale until the late 1950s ('the Windrush generation') when the Tories were long back in power. Far from being discouraged, the Tory Government actively welcomed it to meet persistent postwar labour shortages in various sectors. One of the main stimuli was a Caribbean recruitment drive by the then Health Secretary for workers in the new NHS. His name? Enoch Powell.
Subsequently the first restrictions were imposed in the 1968 Commonwealth Immigrants Act - introduced by a Labour government....
Lots of shades of grey on this issue. As always in British politics, parties and their policies resist neat pigeonholing...