Also, the British people were tired of war and depression.
The promise of a welfare state was appealing to almost everyone at the time. Britain was exhausted, tired and was just a few weeks away from bankrupcy. The horrible abyss of the war was something people wanted to put behind them and that's something they probably wouldn't have been able to do with Churchll as PM.
Atlee changed Britain more than any other PM in the 20th Century (except maybe Margaret Thatcher) If the Conservatives had won, there would have been no NHS.
I woner what would have hapened to the industries that were nationalised during, or just after the war such as the rail companies and the coal mines.