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"It's not precisely the same so it's completely different". And your "It's your fault for making us force you to take the vaccine" (implied by your 'you can always change your vaccine status' to avoid government persecution) is despicable from someone with your username. But that's not the first time.
Slippery Slope
Slippery slope is a fallacy in purely academic debate. Turns out it's actually manifestly observable in real life. It can be avoided, perhaps, but you have to take notice and turn things around. It's not a fallacy to call slippery slope when you're on a slope and slipping. A straw man, on the other hand, means you are failing to engage with your opponent's actual position which leads nowhere useful.
And people wonder how the Germans let it happen...
(Sorry Lightfoot, I was willing to let it drop but these are too egregious to let slide).
In purely academic debate is it?
During a global pandemic a country tries to increase vaccination rate of its citizens by stepping on some liberties, next they'll be gassing all non aryans?
A cop asks for my papers while i operate a vehicle, ergo Nazi state?
Now, I fall into a camp of vaccinated but feel uneasy about how govs are going about the vaccinations, but lets not fool ourselves, comparing that to Nazism is a text book example of a slippery slope. If you're still confused, any comparison to Hitler/Nazis short of mass extermination of a certain group of people, is a slippery slope argument.