The ultimate goal is not to literally destroy, kill or eliminate an ethnic minority. In China, both in past centuries and in the present—the 20th century, the modern Chinese state, nowadays since 1949 the Communist Party—there has been a very consistent self-portrayal of China as a multi-ethnic empire.
The Chinese want to be multi-ethnic, and of course, for the Han Chinese, culture and race are seen as the centre. The minorities complement and create the glory of this empire, so they must exist; however, they have to be in some ways sufficiently assimilated into firstly the Han race and culture.
We're talking, then, about a cultural and a linguistic assimilation—although minority language education does exist—but as in the Hui and Tibetan case, it is not seen as acceptable if the minorities don't speak Chinese well.
The second axis of assimilation is along the lines of socialist or communist ideology, meaning that religion is suspect and inherently problematic. Faith or belief in the party comes first, and that's very much the intention of the re-education campaign, and it's what we hear from witnesses. That must come first. If you have some kind of secondary belief and go to some kind of church that is government-approved, government-controlled—