OP what do you really think was happening when your daughter started to talk about noses being measured and concentration camps?
Did you really think this was another attempt to share a teachers political stance? If anything you'd question the teachers grasp of reality and not want to follow their politics on that basis? So it would have the opposite effect wouldn't it?
Didn't either you or your daughter think that it had gone a bit far once the gender discrimination and nose lengthism had come into the debate?
Surely there was a collective groan / laughter when the whole class realised that it was an exercise? Does she remember that even if she didn't follow what had happened? Or some kind of stunned silence?
I wouldn't be at all worried about the political teaching, I would however be very concerned about how your daughter came out of the class having not understood any of the lesson? I wonder what happened?
Was it the teaching? The exercise not resolved in time to discuss conclusions?
Or her losing concentration at a critical point of the lesson?
Or so cross about what she perceived to be another attempt to sway her politics she stopped engaging with the flow of the class?
Btw, I remember this same 'trick' being used in history when I was at school, and it was a lively and interesting lesson, engaging all of us when tbh, we weren't that excited most of the time! I remember the point at which I started to feel uncomfortable yet most of the class were still lapping it up, or seemed to be. It was a good few minutes before I got courage up to say something, by which time it had got truly ridiculous with all the hatred of minority groups (ginger hair, & village/ farm inhabitants vs townies).
I can't even remember the political party used to demonstrate the point, only the message of how human rights can be stripped bit by bit, without us noticing until it's too late.
That's how the lesson should be taught!