@Thomas,
Are we really just arguing about the definition of words here?
Morality is the set of values I live by. They are more than "personal tastes" (I have tastes too). My moral values drive my behavior and inform my deep feelings about what is right or wrong. At times my morals cause to act against my interests. My sense of morality is at the core of my identity; who I am as a person and how I view myself in the world.
To use the word taste for things like "compassion" and "responsibility" and "justice" is really stretching the word taste.
Morality is much deeper than that.
Your definition of morality doesn't match the dictionary definitions that I have seen, I suppose you are free to define the word based as you feel fits your philosophy.
I like Katy Perry.
I feel very strongly that the drone strikes we are now launching are unjust.
These two statements are quite different for me, One is an example of what I call "taste". The other is an example of what I call "moral value". To use the same word to describe these two very different meanings doesn't make any sense.
I don't see these two statements are equivalent in any way. I suspect you feel the same way.