Are those articles suggesting how to fix capitalism or are they actually suggesting eliminating private ownership of the means of production? There are numerous example of the latter being crushed by, e.g. the CIA among others, for around a century. As for how they are marginalized, I'd challenge you to name a single instance of a capitalist state becoming anything else. There have been a few, e.g. China, USSR, PRK, Cuba, etc. which became state capitalism, but that's still a form of capitalism. The anarcho-syndaclists in Spain tried, but they were crushed by the state.

Private property is inextricably linked with capitalism. If there is no private property there can be no private ownership of the means of production, hence no capitalism. Conversely, within capitalism there is private ownership of the means of production hence there can be no private property, only personal property.