Wilson waited until after he was elected a second time (which he could have still run for a third term, but that was still unbroken).
And then SHAZAM! The Drums of War reached here, to remake American nearer to the hearts diser, it just took what Hundreds of Thousands of American Dead to get what Wilson wanted, the League of Nations
Of Course the Country went Hard Right in 1920, feeling betrayed and wanted normalcy and told the League of nations to get bent
And oh happy day we got income taxes and direct election of senators.