How has China built up a huge industrial infrastructure that produces wealth for the country but also creates the vast gap in incomes that the communists were going to abolish?

Answer 1

China has stuck to the morality of Maoism, an inherently broken ideology based on the various broken ideologies of Marx and his various fanboys.

The Chinese Communist Party (i.e., the government) is not interested in abolishing the income gap, and will refuse to acknowledge the disparity between the super-rich part leaders and the poorer-than-dirt farmers in Sezchuan Province or the homeless in Beijing.

Socialism is and only can be a perverse, secretive form of capitalism - where the most powerful have most of everything; they also have the power to ignore or dismiss the poor and disenfranchised as nonexistent.