MacOS – cmd-tab behavior on Mavericks with multiple displays

As far as I can find, putting the Dock on the left side of the right monitor or the right side of the left monitor can't be done.

But let's look at other possible solutions to your problem. Point #1 notes that you don't want the dock on the right because it would interfere with disk icons on the desktop. And when you first drag the Dock to the right side, it does indeed cover the disk icons on the right side. But if you select "clean up" on the Desktop once the Dock is positioned on the right, it will move those icons over to make room for the Dock. This is a temporary solution, however, because newly mounted drives will still be buried by the dock. If you select "clean up by name", however, then newly mounted drives will fit into the grid created and not be covered by the Dock.

Not the solution you were looking for, I know, but it might be a workaround.

Try moving your Dock to a different screen in System Preferences > Dock > Position on screen. The Application Switcher will open on the same display as the Dock.

You can also quickly move your Dock (and Application Switcher) to another display by hovering your mouse on the very bottom of the desired display for a moment.

The Dock will then rise up and appear on the desired display. (Note: this only seems to work if the Dock's Position on Screen setting is Bottom)