Yes of course as you say it can be done through identities. But then you have something very different than Satoshi's idea. You have a system where every single person on the network must be identified. Of course a system can be designed that puts limits based on identity (distribute mining rewards evenly, only allow one address per person), but then you have no privacy. Also this relies on the idea that no one can spoof someone's identity through whatever identity recognition system is used.
The reason Satoshi used PoW is because you can't spoof processing power. And of course he wanted to avoid the hassles and issues involved with identities.
Regarding face recognition, there is no privacy for the unique node. This may be another development direction of blockchain, which can prevent legal elements from using token transactions. The most important thing is that everyone can use mobile phones to mine, so that blockchain data can be distributed on everyone's mobile phones. Is it safer and more accessible for ordinary people to participate
If you destroy the whole concept just to make it more accessible you haven't done anything good.
Sure you can do one-id-one-vote mining but in order to do that you are going to have to rely on trusted third parties, and then you no longer have decentralization. Facial recognition wouldn't work well because you'd have people stealing other people's faces and generating fake faces and whatnot.
Also at this point you wouldn't be "mining". There would be no point in PoW mining if this is your setup because the idea you've set forth is to make the minting process available to anyone so you're not using competition for resources any more. You're using a identification system, where it is decentralized and secured through IDs. So in your setup there is no mining, there's just running your ID node from your phone and you are participating in the transaction verification network.
Anyway, since the essence of your system is based on identification what you really need is to involve trusted third parties that can verify IDs. There must be a whole legal apparatus put in place in case someone steals someone else's ID on the network. At which point instead of creating a more decentralized Bitcoin you've created a centralized trust-required crypto-banking industry with universal basic income. That's a very different thing.