Cyclists are not, and never will be equal on the road.
At least not until they can cause the amount of damage to a car and driver, as the driver and car can do to them, in a collision.
Cyclists always seem to think that they have right of way. They need to reduce the risks that they take as they have a lot more to lose than a car driver.
By the way, cycling two abreast is fine apparently, and you should give a full car door width when passing. So you just want the whole road then?