The hanging of the Nazis after Nuremberg did not create martyrs and the South was similarly bloodied and prostrate after 1865.)
But there was no Stalin.
The Germans had to cosy up to the West, because the alternative, Uncle Joe, was too horrible to contemplate. They had to keep tight hold of a Western "nurse" as the only shield against a Soviet "worse". If that meant letting top Nazis go to the scaffold, it couldn't be helped.
There was no equivalent situation in the South of 1865.