Thought I'd dust off this old chestnut.
I agree that a Molotov-Malenkov-Zhukov troika ousting Khrushchev in '57 is the best option. Without Soviets seeking peaceful coexistence with the West, Mao has no reason to lose faith in the USSR, especially as the troika begins to reverse Khrushchev's polices: neo-Stalinism, severing relations with Yugoslavia, drumming up anti-Westernism, support for the PRC's second five year plan in '58, etc.
Let's say that India had won the 1962 war and manages to liberate Tibet and install a friendly government. This would easily avert the Sino-Soviet split. Instead of this, China will get closer to the USSR, wanting an ally that help she to get back her lands.
Just get rid of Mao before the Great Leap Forward. His designated successor, Liu Shaoqi, AKA the Chinese Khrushchev would be happy to maintain the status quo. Divisions may arise later in the Brezhnev era though. I can't imagine any Chinese leader would be happy with the Brezhnev Doctrine.