The reason they didn't have Mao as the leader in China is because the Chinese Communist Party (Communist IN NAME ONLY, people!) do not like Mao at all.
This is due to the fact that there was a political coup of a sort by Deng Xiaoping who reformed China into a capitalist nation, and he basically tried to de-Mao the country similar to what Khruschev did with de-stalinisation (except Khruschev changed Russia from Fascist to Capitalist, not Communist to Capitalist like in China)