Humanity is scientifically and materialistically closer and that will certainly continue, but the world is not closer in terms of modes of governance or ideas of how society ought to be organised.
On the contrary, 30 years ago after the fall of the Soviet Union that sentiment peaked and Fukuyama's end of history seemed plausible. Today with the nationalisation of cyberspace, we can see countless of new divides.
The US is rapidly withdrawing from global affairs, China is emerging with a competitive, alternative mode of organisation, a distinct European identity is beginning to form as a response to this particular in France, India is slowly emerging (see the very thread we're in), and Africa is a whole other matter.
But by no means does it look like the world is converging, as it did in the 90s and early 00s when we were all listening to corporate world music and cheering for Blair.