Is the first monitor a laptop computer screen?
Is the second one an analog or digital monitor?
Does this happen with other applications when placed on the second monitor?
What are the respect screen resolutions (800x600, 1024x768, 1280x1024, etc.) pixel setting on both monitors?
Need more info!
If not a laptop computer, does you workstation computer graphics card have two monitor ports or is it a split cable out of one port.
Often, objects selected that are moving with out the mouse moving are the cause of mouse sensitivity or some other mouse setting.
As to the Option bar displaying vertically versus horizontally, that is an impossibility or for that matter the Design Bar. The only location changes that can occur to the UI (User Interface) are moving the seven available toolbars to different locations within the toolbar lines or moving the Project Browser as a application dependent window and docking it elsewhere, floating it inside or outside the application window.
How about a screen capture (shot) of the second monitors display of Revit's application window.
Mel Persin, AIA
AEC Technology Consultant
MasterGraphics, Inc.