Programatically trigger "detect displays."

Answer 1

You will need to use a private CoreGraphics routine to get the list of all displays including inactive ones, and then request a rescan of the bus. Try it like this:

#include <IOKit/IOKitLib.h>
#include <IOKit/IOTypes.h>

CGDisplayErr CGSGetDisplayList(CGDisplayCount maxDisplays,
                                    CGDirectDisplayID * onlineDspys,
                                    CGDisplayCount * dspyCnt);
static void DetectDisplays()
{
 CGDirectDisplayID    displays[8];
    CGDisplayCount  dspCount = 0;

 if (CGSGetDisplayList(8, displays, &dspCount) == noErr)
 {
  for(int i = 0; i < dspCount; i++)
  {
   io_service_t service = CGDisplayIOServicePort(displays[i]);
   if (service)
    IOServiceRequestProbe(service, kIOFBUserRequestProbe);
  }
 }
}

And link to ApplicationServices and IOKit.