Swing Drawing JMenuBar under Runnable Container

[aurickQ]

So in a JFrame I have a JMenuBar up top and under which is a Container which implements Runnable. Swing always puts the menus under the Container. Is it possible to have the container run on a separate thread and have the menus drawn over it?

I've tried added the Container before the JMenubar.
I've tried using setMenuBar () instead of adding it to BorderLayout