Boris bikes are registered in London and each person has to register to use a boris bike - no one has ever needed to trace a boris bike user for a misdemeanour
Here is a bit more on bike registration schemes around the world
bikebiz.com/bicycle-licensing-for-dummies/
I have no idea why you think cyclists don’t pay tax? Of course they pay taxes, just like other people. It’s a myth that they don’t I pay. If you mean car tax then that is based on emissions and none emissions cars don’t pay car tax just like bikes don’t
Insurance, over 1million cyclists have insurance - I have insurance through cycling organisations, many more through home insurance.
As for motorists and cyclists being treated the same I think they should be. When a cyclist killed a pedestrian they were sent to prison for two years- I think the same should happen routinely to drivers that kill, far to many drivers walk free after killing
You say drivers can be held accountable unlike cyclists, but this doesn’t stop those hundreds of thousands of drivers breaking the law - even though they can be traced and fined they still speed, so why do you think registering, insuring and taxing cyclists would actually achieve?