No, cars are far, far, far more lethal than bicycles.
There may be a couple of deaths a decade in the UK from cyclists hitting people/cars.
Cars kill thousands a year.
Its like saying that the regulation of guns and skipping ropes should be the same. They're in no way equivalent from the point of view of dangers to others.
The point on cycle knowledge, making all that stuff compulsory would significantly reduce cycling rates. Cycling saves way more lives through improved fitness than die in accidents.
So putting those barriers in the way of cyclists might reduce a small number of serious accidents (as the vast majority are not caused by cyclists) but due to poorer health in the general population as a whole arising from lower cycling rates, the net result would almost certainly be more premature deaths and higher diabetes and obesity rates. Would also increase driven miles, which increases the number of accidents.
Compulsion has a cost. A significantly cost.