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I have only met one GenZ liberal who agrees with me, that the free speech of Nazis must be defended if we are to preserve our own free speech.  
I am very political. I've worked on multiple campaigns, and I've led GenZ volunteers doing call center and texting work, as well as door knocking. So I've met many young people who are politically engaged. I had hoped that during or right after college their views would evolve, but many of them are in their mid-20s now and have maintained these beliefs.  
For context, I'm a millennial, myself. Mid-30s.
I’m not sure I understand why you believe that group is hostile to free speech as defined in US law. Could you elaborate?