> Several states grant some right for cyclists to travel in lanes with cars

Believe it or not, in some places it's actually required to ride in the road along with cars (my current city, for example).

> in practice that's absurd

Honestly, agreed.

> When you have a frail bicycle riding amongst numerous cars trying to keep up, or inciting rage and causing problems by not being able to, of course there will be accidents.

Big yikes, though. Given the likely dire outcomes of collisions between cyclists and cars, and the overarching systems that tend to force cyclists to share the road with drivers in the first place, it feels wrong to me to blame cyclists for "inciting rage".