He was also out of power by that point, one of the reasons he lost the 1945 election was a war weary country wanting peace and was not prepared to vote in someone who had the capacity to send them away on another military venture.
If you are talking about 1945 then you need to look at exactly how many bombs the US possessed at that point, from the records in August 1945 they had the two they dropped on Japan and another which would have been ready to use from mid August. They had planned to produce one a month but...
Actually you've missed part of the quote out:
Bessie Braddock: Winston, you are drunk
Winston Churchill: And you are ugly, but at least in the morning I will be sober