It's called learning from each other. Germany hosted exchange students from the USA and the USA hosted exchange students from Germany. It was a bilateral exchange program.

http://www.general-wedemeyer.com/kriegs-akademie1.html

At this time the United States and Germany had an agreement whereby their respective armies would accept students from each others countries for study. (Unknown Future p. 8)

But that doesn't really answer your questions does it?

The war notably started in September 1939 when Germany invaded Poland. The USA were supporting their allies with supplies but didn't participated actively in the war until pearl harbor in 1941 and the consequently declaration of war of Germany to the USA.

So what you have to ask is: In 1936, did Hitler expect to be fighting the USA?

When Wedemayer began attending the Kriegsakademie it was 1936. Hitler rose to power only 3 years earlier and Germany was still bound by the treaty of versailles. They already began a light re-armament at that time but when it really got off was in 1935 when they reintroduced conscription and a full re-armament of the german army. The re-armament was at its high in 1936. The allies were very well aware of that.

But Hitler didn't quite take the USA very seriously. His opinions were that since the American Civil War the USA were in an ongoing ethnic and political decay. His thoughts were that the USA would be staying away from a war. In 1935 the usa passed the neutrality act which only strengthen his opinions about the usa. On 5. November 1937 when Adolf Hitler met with his Generals and outlined his future expansionist policies the USA were mentioned only in a single sentence. You can read more about it in the Hossbach Memorandum: http://avalon.law.yale.edu/imt/hossbach.asp