So even if you want to say that truth is arrived at subjectively there has to be an acknowledgement that any kind of knowledge is a belief, not a certainty. There is an element of faith in everything we claim to know.
Vine Deloria, the native American activist, used to say that an indigenous person's creation myth is as valid is the accepted "theory of evolution" (that is, the theory of natural selection), which he feels is just another creation myth to him. The difference, to me, is that our theory of evolution is in a constant state of revision as new material arises to prove or disprove a particular point. Our faith is in the process, not the result of the process. And, yes, the process fails once in a while, as people use it as a guide for moral reform or legislation (eugenics comes to mind, but I'm sure I can come up with others). But if people continue to trust the process, the flaws will become apparent and will be rectified. The result won't be gospel, but something that will do until more data can be found.
I get it, but that's why we talk about probabilities instead of hard truths. You can have a thousand pieces of evidence that support a certain conclusion but it only takes one piece of evidence to shatter that conclusion.
The other thing is --- what is the quality of the evidence? Anecdotes are not evidence, neither is hearsay. But human nature treats anecdotes and hearsay as a kind of proof. Anecdotal evidence is a kind of fallacy argument. It says "I know a guy who kissed his own ass so that means anybody can kiss their own ass. This is a case of self delusion and it is a limiting factor on subjective truth.
I'd like to meet that guy.
I'd agree that our beliefs generally come from areas that are not scientifically validated. If I leave something in the pan too long, it will be overcooked. I don't need to run a scientific analysis with thousands of test cases and double-blinds and such to know that. And if I meet six assholes in a row, I can conclude that it's probably me who's the asshole on that particular day. Experience has taught me that, but not in a scientifically rigorous way. Most people live their whole lives building their world-view around the things they personally experience.
And hearsay can be pernicious. Studies have shown that the more people see of violent crime on TV, whether it's news or cop shows, the more they perceive that violent crime is on the rise. And when political leaders feed that misperception and use it as justification for stricter laws or more police protection, society is generally harmed in the form of higher taxes or persecution.
So analyses of real crime rates should be compared with what people feel about crime. And accusations of a higher crime rate with, say, undocumented immigrants should be countered with actual analyses of what this segment of the population actually is influencing the crime rate.
The trick is persuading people that their view of the world is wrong, and getting them to trust the statistics rather than their own experience. It's something that, like other logical arguments, should be taught in schools, from the sixth grade on.