As the title says, which blocs would the Qing Dynasty sided with - USA and NATO or Soviet Union and Eastern bloc, or Qing China goes their own way and founded it's own non-aligned bloc?
This is a scenario where the Qing Dynasty China succeeded in
Hundred Days Reform, a Chinese Meiji-style modernization with POD in the late 19th Century and didn't suffered a reactionary coup d'état by Cixi. This Qing Dynasty survives throughout the World Wars, whether neutral or being allied with the victors of the World War 1. They joined the allies in WW2 and emerged as a Great Power in East Asia.