Quick Way To Switch Dock Position On Multiple Screens

Easier way: Right-click the Dock divider (that part that looks like a crosswalk) and choose the Dock position you want. It's also in the Apple menu.

EDIT: Actually, it sounds more like you're trying to choose which display is primary (moving the Dock and Menubar to that screen). I don't know of a quicker way to do that.

jW

 

For a different approach you might give second bar a try. I don't use it so can't really give a recommendation, but I have seen it discussed on this board before. The developer does say that it is alpha-quality, so you will see bugs.

 

this might come in handy as well: http://andrebaumeier.github.io/osx-dock-location/

it reacts on changing displays and offers you to switch the dock position