This might be a bit of a stretch, but I was wondering if there was any way the People's (Populist) Party might gain enough support to have a Congressional majority and/or President (James B. Weaver?). Perhaps by replacing the Democrats, as the US seems to favor a two-party system.
With their vaguely Socialist tendencies and distrust of European institutions, where would a Populist government stand in the tumultuous years ahead (Collision with Spain, WWI, Russian Revolution, colonial troubles, etc.)?