Implement Shadow Dom for the inspector pane

[rev087]

Implementing Shadow Dom might solve some possible issues and limits:

• Page CSS affecting the UI
• Make it possible to implement richer third-party libraries to handle the UI rendering and interaction (I heard AngularJS is cool)

[DrewML]

For reference - Browser support:

http://caniuse.com/#feat=shadowdom

Firefox: Available only if the user enables flag dom.webcomponents.enabled

Safari: Not supported :(

Chrome: Full support.

There is a polyfill for Shadow DOM (I believe Polymer uses it). It works by wrapping/patching every DOM API that would "break" shadow DOM otherwise. Last time I heard about it (> 1 year ago), I heard lots of talk that there were big performance implications. It would definitely be worth checking back in on that, though.