Its not quite that simple. 5 years after Mr. Roosevelt took office, we went through the recession of 1937, and in effect things were nearly as bad as they were in 1932 when Roosevelt took office. Its true that the military buildup that started in the late 30's got us out of the depressions, but it wasn't just the US military buildup that did it. The British, the Russians, the Chinese etc... were buying american weapons. One of the reasons for lendlease was that the british had spent nearly all their gold reserves buying US military hardware. Those nations were dumping a lot of funds into the US economy.
yea, you're right, it doesn't change my point though.