Additionally, for various reasons you don't hear reports of equivalent stories like this happening in, for example, Europe, though such things are not exactly significantly less common there.
That being said, knowing the proper way to deal with people in authority positions is incredibly important. In this case, she should have asked for ID (yelling at them through the window if necessary). If they kept insisting that she roll the window down - and for some reason her car is unlike every other car out there, requiring the engine to be on, she should have tried to explain that through the window.
(Seriously, what cars require the engine to be running for the windows to roll down?)
Upon further consideration, I wonder if she had a push-button starter. Having never driven a key-less car before, how the heck does the accessory setting work (if at all)?
In my wife's old Prius, tap the power switch without a foot on the brake and you get accessory mode. Tap the power switch with a foot on the brake and the car goes into run mode although its in park mode.
Confusing as hell precisely one time, especially if you're used to an automatic transmission. My regular tech car won't start unless its in park or neutral, why would I push on the brake? My left foot is already busy kicking the parking brake out... and the Prius does in fact have a parking brake for the left foot to kick out making the UI even more confusing. However it makes perfect sense to a manual transmission driver, because you always kick the parking brake out with your left foot and then hold the clutch in with left foot.
The confusing as hell part comes the first time you shut off the car and put your left foot on the parking brake to kick it out like you'd do with a normal car, and it boots up in accessory mode and won't move. WTF? Hopefully you try leaving the parking brake alone and press the regular brake before you ask for a tow.
This is all beside the point. If a bunch of crazy men in civilian clothes on a dark night waving guns rush my wife or daughter and start screaming at her, I want her to escape at all costs, run them over if necessary. Behaving like a pack of uncivilized wolves has consequences and she shouldn't feel sorry at all. Those officers should all be in jail.