I had no problem with the responsive navbar in the last version of Bootstrap, but I cannot get version 3 to work. The toggle button appears properly and everything disappears bu
I believe the code below will produce the effect you're looking for. Specifically, there is no "navbar-responsive-collapse" class in BS3 (see the "bootstrap.css" file). Beginning with release 3 Twitter Bootstrap is responsive by default, so many of the code flags for responsiveness are now baked into the framework and no longer need to be called explicitly.
Here's a BS3 version of the right-aligned collapsible menu: