This is already happening to those who dont have new style driving licences or passports. Nothing else is usually acceptable.
There are reasons for this. If you don't have a passport, you might be an illegal immigrant. So this makes life a bit more difficult for an illegal immigrant. Former Home Sec's Theresa May's 'smoke 'em out' policy that encourages all public and private bodies and service providers to make life difficult for them. But it also makes life difficult for citizens too.