There is no reason to believe that. As the article says, the last Maunder Minimum lasted 70 years (1645-1715). Humanity pulled through just fine.
The Earth will cool off by, perhaps, one-half a degree (exactly the amount it has warmed up since the last minimum) and the global warming zombies will have to transfer their hysteria to some other drug-induced danger they've imagined, perhaps pot blight or killer butterflies under their skin. Rest assured, it will soon metastasize into demands that we give up our cars and bottled water and leather goods and football and Christmas and Thanksgiving and that, from that moment on, we walk to work along dirt paths in our bare feet.