Incorporation (which has been around since Gitlow 90 years ago) is a pretty logical conclusion of the 14th Amendment and overturning it would overturn...pretty much the entirety of Fourth and Fifth Amendment jurisprudence.
How so? I don't follow most Supreme Court decisions and precedent, but how would overturning the idea that non-human entities (like corporations and unions) are legally persons overturn the Fourth and Fifth Amendment?
Incorporation here has nothing to do with whether corporations are people, but whether the XIVth Amendment caused the Bill of Rights to apply to the State governments as well as the Federal government.
Yeah, it's confusing because the word has 'corporation' in it and we're discussing Citizens United, but 'incorporation against the states' refers to something entirely different and has been relatively uncontroversial as a concept for a while now (it's just when it's to be used that there have been controversies around).