So master JavaScript, but then learn Rust, Elixir, Go, Haskell, and Lisp, too. These are as much "game changers" as anything else.
I understand how it's geting more popular but there really is a whole world outside of webdev.
Systems programming, AAA games, simulators and embedded software are not switching over to JS any time soon.
"...Different languages come with more than just a different syntax, they also come with their own way of thinking...". This is of course bad, because naturally we don't need Erlangs, Scalas, F#s, SQLs, Haskells, X(*)MLs, telling us there is a different way to approach a problem. Just give us the good ol' Hammer.JS! It's perfect for any task!
Required reading for author: asm.js, LLVM, TypeScript.
PS: if the world goes mad and he turns out right we will have a _really_ good reason to leave for start ups.
I even heard, that: Win8 Metro Apps are developed with HTML5 stuff and Apple is building a JS Bridge to their Cocoa APIs. But i have no sources currently.
If this is true, there will be one language to rule them all. It's not the prettiest one, but that's what meta-languages like coffeescript are for (if you want).
(Projects like ASM.js (near native speed) or Emscripten (transcompile many languages like C++ to JS) are pushing towards this direction even further!)
"JavaScript is making all other languages irrelevant" Hogwash. Many many languages out there have something to offer you intellectually and professionally. Saying they are all now irrelevant is naïve and the path to mediocrity.
Which, of course, is complete nonsense.
So no, this does not just support this argument. There are other languages to learn.