WI: League Of Nations And The United Nations Could Co-Exist

Could the League of Nations and the United Nations have co-existed if the former had somehow managed to survive? Perhaps the League of Nations would be relegated to humanitarian and some peacekeeping missions with NATO while the United Nations would be used for diplomatic business?
 
No, they couldn't work together. The US didn't join the league, and I think other important nations would've stayed in it.
 
Because NATO is less of a League of Nations and more like a military allaince of various nations in Europe and North America.

G8 as League of Nations: Close, but no cigar. League of "Power" Nations or someting.
 
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