It isn't about privacy dumbass. It is about freedom of movement and travel - something the 5th amendment enshrines perfectly well in English for those of us in the USA.
"No person shall be held to answer for a capital, or otherwise infamous crime, unless on a presentment or indictment of a Grand Jury, except in cases arising in the land or naval forces, or in the Militia, when in actual service in time of War or public danger; nor shall any person be subject for the same offence to be twice put in jeopardy of life or limb; nor shall be compelled in any criminal case to be a witness against himself, nor be deprived of life, liberty, or property, without due process of law; nor shall private property be taken for public use, without just compensation."
This entire "mandate", "law" whatever you want to call is 100% completely unconstitutional. Yes, it might take a year to travel through the courts but it is clearly unconstitutional.
Remember the goddamn tiktok nurses?
Seriously the level of propaganda warfare being waged on the American populace is entirely INSANE.