In other words, if only people would listen they'd come to have the same tastes as you?
there's taste and there's appreciation-- different concepts, but not entirely foreign from each other. "taste" is rooted in personal experience, while appreciation is about understanding and education, which leads to enjoyment. it's like how two guys might see two equally attractive pretty girls across a bar, one a brunette and one a blonde. one guy says "i like the blonde," while the other says "the brunette's more my taste." neither guy thinks the other girl is unattractive, just that personal experiences, maybe even physiological predilictions, have made the one guy prefer blondes and the other guy prefer brunettes.
or what if this blonde/brunette scenario was slightly different? the blonde girl has enormous fake boobs, lots of makeup, relentlessly conditioned blonde hair, and a cleavage-displaying outfit. the brunette girl is dressed conservatively, has no makeup, and no obvious cleavage. i'm sure a lot of guys would automatically pick the blonde, but the more discerning and educated would be able to look past all the surface stuff and pick out the beauty in the brunette or the ugly in the blonde. this scenario goes beyond the jurisdiction of what one can intelligently determine strictly through taste, although there's lots of guys who would blindly cling to their "taste" when making a decision in this, or any number or related scenarios.
quality is what taste and appreciation have in common: you could give me two exactly prepared meals by the same master chef, but if one was spicier than the other, I would prefer that. that wouldn't stop me from appreciating and enjoying the not-as-spicy meal. but if you served me a meal made by the Barf from You Can't Do That On Television, but garnished it up and talked it up like it was the greatest in the world, i could eat it a thousand times and analyze it in a thousand ways but i'd never be able to appreciate it in a substantial way. maybe there's a person who grew up eating this kind of food exclusively, though, and so they've developed a certain nostalgia about it, a "taste" for it if you will, but that's not the same thing as saying that it's a great or good meal.
certainly, "quality" is an ambiguous concept at times, and lots of people have their own opinions for what it is, but it is still something where a criteria can be set, and i think everybody sets their own criteria, consciously or not, when determining whether something is of quality. the more educated one is, the more refined and open-minded their criteria and sense of quality will become. when i was ten years old, my favorite album was the license to drive soundtrack.