I don't get it. I plug a bigger monitor to my laptop when I'm at my desk. Why the need to detach the laptop screen?
Right now the best I can do is to carry an external keyboard. But it's a pain to have to tote around redundant hardware. Of course, it's also a pain to be in pain after spending too much time using an un-ergonomic laptop.
Now drag the menu bar to whichever screen you like. And remember, Google is your friend.
The common alternative, some sort of configuration wizard with 1,000 controls, seems worse. But only just.