"Mistrustful beliefs about ART and mainstream HIV medical care may create significant negative consequences for public health."

I'd be inclined to put that differently, and maybe in more general form. Look at the effect of the scares over childhood vaccinations.

"False health scares and distrust of mainstream medical care kills people."

I know. Different writing styles. And the English is slightly awkward--"kill" or "kills"? But they want brevity, and maybe you can, in some way, make your key points stand out with shorter, more abrupt, language.