Your cycling fallacy is…
“If people cycling want to be treated with respect, everyone must always behave perfectly while cycling”
It is wrong to suggest that one person’s behaviour reflects on all other people with whom they share some attribute. People who cycle are connected only by the fact that they sometimes use the same mode of transport.
Examples of bad driving aren't considered to reflect badly on everyone who drives a car – and rightly so. Similarly, it would be ridiculous to claim that everyone using public transport is a fare-dodger, simply because some people use public transport without paying.
It is also a fallacy to believe that prejudiced views would disappear if the subjects of prejudice were to behave in a certain ‘approved’ way.