The vast majority of drivers respect cyclists at least to the level of following the rules. If that wasn't the case riding would be impossible.
There is a tiny minority who don't, and they are a problem. For a start we tend to perceive them as being hundreds of times more common than they are because of the trouble and hazard they cause us. This lot are generally just as disrespectful to everyone else on the roads.
There is another minority who don't look, or don't see what they're looking at, or are just incompetent. It's not that they don't respect cyclists, they just don't think. This lot also pull out in front of other motor vehicles, drive straight across pedestrian crossings, and so on.
Publicity campaigns might help. Some enforcement of road law might too. Introducing sensible penalties for traffic offences would also be a good idea.