To be fair (and perhaps I am only taking this position as someone noted for my hand and neck tattoos) you can cover them with makeup for operations, as I have done, and this is only really an issue while this war in the West is still cold, as society collapses and things start to heat up people will (I speculate) barely be bothered with such detailed work.

At any rate, if that is the direction things go, being un-tattooed alone won't save you, you would literally have to distort your face beyond recognition as even having a beard/hat/sunglasses/different body fat hasn't saved me from facial recognition.