The problem is that cyclists ride on the road yet go vastly slower than cars. Bicycles do not belong on the road. They’re just too slow. It would be like allowing mopeds and scooters on the highway.
Make them ride on the sidewalks where there are no bike lanes - and no, we cannot provide bike lanes everywhere. American cities were built with the car in mind.
No, that's not the problem, the problem is that motorists refuse to see that the safest solution to that conflict lies under their left foot, not their right.