The ID card question depends on its form and how it is used. I routinely carry my passport with me because I have one and I don't drive so as a basic form of ID required in bureaucratic situations that's fine. A basic ID card with basic information in written form - fine.
However, anything involving biometrics and electronic storage of information is too open to abuse and manipulation. Nothing to hide, nothing to fear is the usual trope used to undermine people with fears of technological malfeasance, however, it's the devil's own job to get "computer says no" issues resolved at the most mundane level. A good example of the mundane is the post master scandal. Definitely not mundane to the victims, and while it didn't start out as a malicious event, it became one as it was covered up and went on for years and the authorities turned a blind eye.
Our lives are ruled by technology enough as it is, and many companies are salivating at the thought of a social credit system.
With regard to the vaccine passport idea - if nightclubs and other group venues have police this, will it become tied to public liability insurance? If a case is discovered and it is thought a venue has allowed an unvaccinated person through the door even if, for arguments sake, they produced a fake passport, could they be held liable? This strengthens the argument for something digital and interactive over a paper version. And would also force people to get smartphones if they don't already have one.
There are many layers and strands to this whole subject, the first being coercion at all levels. Freedom of choice will effectively become an illusion.
You may use the argument that people can't be allowed to commit murder or other heinous crimes, the vast majority do not, and there are laws in place to deal with the minority that do. This is very different imho.
The language that people use in the debate is very telling. "You must be mad not to get the vaccine" "You are selfish not to get the vaccine" "If you don't get the vaccine you bear responsibility for deaths and lockdowns" - all levelled at the individual, despite the fact that this could have been avoided by better handling right back at the beginning. Our governments, worldwide pretty much made the mess and now it's up to us to clean up after them by having a vaccine and being willing to curtail our lives ongoing, despite genuine concerns over the safety and efficacy of the vaccine. Whichever way you look at it, this has now become a very complicated fraught experiment, and all everyone can do is cross their fingers and hope for the best.