I've left parties because they go to clubs that scan your ID and take your photo before you can enter on several occasions. Cryptographically verifiable identification is not a good idea, regardless of intentions.
Technically not an identification, but Zero-Knowledge-Proofs might be the solution to that. If I remember correctly, some countries in the EU are looking into this for medical prescriptions - proving your eligibility while exposing zero information about you.
I wonder if it's legal to print one's own barcode as a privacy shield..
I wouldn't think printing out your own 2d barcode with some fields masked would be strictly illegal, as long as you weren't committing fraud by putting fake info.
Practically though, even just covering mine up with tape I've run into a few people who call it a "tampered" ID. IIRC this has only happened for situations where I accept they're going to require the identification number, so I've removed the tape from the printed number on the front but not the barcode on the back (because it's harder to nicely put the bigger piece of tape back). When I hand over my ID I ask them to key in the number instead of scanning, and most people will happily do so. But the occasional person will get tense and say it's a "tampered" ID and refuse to accept it. I've always quieted them right down by removing the back tape and handing it back to them. But I can imagine if you have a different barcode and someone notices it might set off similar "serious business" flags that you won't be able to assuage so easily.
But if you've got the bandwidth to try it, go ahead. Human rights aren't going to defend themselves! Just remember to be pleasant in your interactions, and it helps to have examples ready of why you want to keep your information out of databases.