The first lady originally came to the US on a tourist visa before getting work as a model and eventually applying for a green card several years later. Musk came to the US on a student visa for a program that he never actually enrolled in. Even if you want to argue its "race-neutral", it's certainly not "proximity to the president neutral" so it still is very much "Gestapo-like behavior".
It's not Gestapo-like, and whatever is your position on political spectrum it's ridiculous to put things like Stalin-Hitler-Mao-Pol Pot repressions on the same level as anything happening in the US.