I'm sure you've picked up on the fact that most people who can't stand cyclists are really talking about the types who don't need to get from point A to point B, but rather those who go out of their way to bike on roads that cause issues for drivers all in the name of recreation (especially in areas where tax payers have built out spaces for cyclists that cars aren't allowed on). Outside of those who plow through intersections or ride on the sidewalk, who gives a shit about bikes in the city?
As noted by F250 and Judge Roy above, heading out to narrow country roads just to clog things up for the locals is the pinnacle of dickhead moves, and where most of the ire is generated. I don't know what percentage of cyclists this amounts to, but like the jerks in that video above they're the ones making people hate cyclists.
Now, there at least as high, although perhaps higher, percentage of drivers who are just as big of an asshole as any cyclist could ever be. Case in point, the teenager at the heart of this thread. I don't know what to say about people like that other than they shouldn't have a driver license and should probably be castrated. Their jerk counterparts in the cycling community? Well, they've already taken care of the castration part, at least from a reproductive level, so I suspect they get a pass.
I'm sticking with my theory that the percentage of asshole know-it-all cyclists and the percentage of asshole know-it-all drivers is eerily similar to the percentage of engineers in the general population. I'm not drawing any conclusions from that.