Many drivers just have an irrational hate of cyclists, period, like you have seen, they just don't believe that bikes should be able to ride on the road. They will hate cyclists no matter what. Even if all cyclists stopped at every light, do you think it would change that idiot's hatred and bad opinuion of cyclists? Of course not, he'd find some other excuse, like, some cyclists don't ride a straight line, anything to justify his opinion that bicyclists don't belong on the road.

Its clear from your interaction that running reds is not a major reason that drivers hate cycl;ists. When you first confronted him, he said bikes can't take the lane. Only when you showed him the statute which said you can did he come up with the "Well, bikes run red lights." comment. Running red lights wasn't on his mind, its just the first thing he though of to justify his position when you proved him wrong.