In the old days this used to work. You click on a tab in Firefox and drag it to the desktop and it creates a new window with the selected tab. The animation of the tab flying throught the air while being dragged is still there, but release of the mouse causes the tab to “fly” back to its original window.
Perhaps you should file a bug report against firefox (although this may also be a Gnome Shell issue). I have successfully dragged a firefox tab to a new workspace in Gnome DE but now all I get is a change of cursor (hand pointer) and that’s it – the drop doesn’t happen.
In the meantime, you can achieve the task as suggested in my first reply. Do file a bug report nonetheless
I just figured out what the problem was. If you enable the “titlebar” in Firefox’s “Customize…” window (it is a checkbox at the bottom) then the traditional window titlebar appears (with the buttons on the left) and the click and drag thing works. Who knew?