The U.S. expanded due to them winning the war
A. Unrestricted Submarine Warfare.
This caused Germans to attack vessels that carried US citizens, bringing the US into the war.
Yes, the Mexican American residents of these territories did become U.S. citizens.
The prosecution entered indictments against 24 major war criminals and seven organizations – the leadership of the Nazi party, the Reich Cabinet, the Schutzstaffel (SS), Sicherheitsdienst (SD), the Gestapo, the Sturmabteilung (SA) and the "General Staff and High Command", comprising several categories of senior military officers.[avalon 1] These organizations were to be declared "criminal" if found guilty.