There are a couple of settings under
Preferences >
Editing that affect Clip/Movie modes.
For what you're trying to do, it sounds like you don't need PD's Dual Preview mode so much as to use PD's modules full screen on your big monitor. Most of the tools have a maximize button at the top right of the window, and you can also set PD's main preview screen to full screen (or much larger than the default) by using this undock button:
YouTube/optodata
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