Minify it, run dead code elimination. Exactly as you would with any other language with a compiler.
Also, worth noting that the tutorial being broken isn't symptomatic of JS, that's a problem with Angular (which has a history of sucking, and IMO Angular 2 just takes all of the problems with Angular 1 and adds more baggage to it).
Be aware as well that Angular 2 is a full-fledged Web Framework. Even after all of this compression and such, it is not going to be as lightweight as you'd expect simply due to the nature of what you've installed.
If you want something really lightweight, go with Rivets or React.
[0]: https://stackoverflow.com/research/developer-survey-2016