The article is a mishmash of sensationalism and trending buzzwords.
OK let's accept the argument that said companies are "too big". Why nationalize them? To nationalize a company you first have to ask the question what are the consequences for the nation if company X increases prices/fails/stops offering services? If the answer is not dire, you don't touch them
I'll buy that search is important, but what's the vital utility of google apart from that, e-mail and maps? Android? Facebook is a chat/opinion/vanity medium, are we really saying that losing facebook (or whatsapp or whatever) access is a national emergency? I can't buy the argument about "our data". Privacy is important and mishandling of personal data should be severely punished, but that's not an argument for letting the state operate those companies - that's an argument for better laws and enforcement.
And how do you nationalize a globally accessed service with limited physical national presence anyway? This is getting more silly by the minute
There are antitrust/competition laws in every capitalist country, if a company is too big just break it - it won't be the first time or the last. If you think a company mishandles or has privileged access to something it shouldn't (your citizen's data) just punish it and limit its access.