The only thing they have in common is beauty.
When Kong climbs atop that building and beats his chest and roars his challenge to the oncoming planes, it was the primeval world's last shout at modernity and the ever growing industrialization of the planet.
It would have its moments, but when Kong falls, so falls the primeval world.
It doesn't work to put the story in a later era, the machine age is far too advanced, even by WW2. This is a story of two ages, one at the end, the other at the beginning.