You are correct. At that point it is no longer about the votes though. It is an area worth studying. Mao had some success in frustrating the Japanese occupation with this strategy, but Lenin was able to move our from cities to dominate and subjugate the countryside however.
That is true. But if food is needed there must be food to take. If there is nothing in the fields to harvest it will matter little who controls the countryside.
American rural dwellers are far better able to defend themselves than Russian peasants. Passive resistance and sabotoge also come into play. Controlling enough land to feed 150 million urbanites would be colossally expensive in blood and treasure.