I do wonder if it’s possible to open the Firefox’s (I have 18.0.1) debugger in a new window/tab as right now the debugger’s pane is too small at the bottom of the page.
[Edit]
Ok, I’ve made a few screenshots to show that Firefox does have a debugger on its own:



If you mean Firebug, these directions should be sufficient.
EDIT:
Ok I see… you are using the Firefox built in Developer Tools and not Firebug.
So as far as I understand, there seems to be no way to run the JavaScript Debugger on a separate window for non-remote work. Here is a statement directly from the JS Debugger docs:
Also here is a link to the Debugger’s docs:
https://developer.mozilla.org/en-US/docs/Tools/Debugger
Why do you think that the Debugger view is too small? If you hover over the top bar, you can drag it up/down as much as you need to. Aslo are you sure that the JavaScript Debugger is what you’re trying to use? For example Firefox has other tools as well. The “More Tools” link shows other built in tools as well – all these tools together are called the “Developer Tools”. Here is a link to all of their docs: https://developer.mozilla.org/en-US/docs/Tools
I hope this makes more sense now!
Screenshot:
