Where am I wrong about my project and these Javascript Frameworks?

Not sure about your timeline and resources, but when I'm trying to decide between multiple frameworks/environments, I just go ahead and try to quickly build a prototype. Even if it's just one or two major functions, I find that all the research and documentation in the world won't ever match actually trying to build something with the tools. I say take a day with each and see how far you get. That'll give you a pretty good indication of which tools are up to the task and feel most comfortable for you.

meteor is all the rage nowadays (the most starred full-stack JavaScript framework on GitHub and Meteorpedia is a wiki engine written in Meteor.

The launch video will get you hooked by 1:28.

It's agnostic with regards to the UI, and has been tested extensively with Bootstrap and Famo.us. It also generates mobile apps from the same codebase.

I would suggest first coming up with specific UI requirements for your project. Which of the frameworks you've tried have you taken for a spin?

Personally, I got into ExtJS development because the projects I work on require a lot of customization of controls/widgets. ExtJS has a ton of them right out of the box and can always be extended, combined, or munged into whatever monstrosity your business requires.

ExtJS 4 also allows you to "skin" your UI's to further customize the look and feel.

If you are new to JavaScript, and are comfortable with Java, you might even look into a server-side solution such as GWT, JSF, or even Vaadin