Dennis Prager has an excellent article on the charge that those who believe in universal values are arrogant. Here's his opener:
"Let's first deal with the charge of "racism." It is difficult to overstate the absurdity of this charge. How can values that are universal -- i.e., for people of all races -- be racist?"
It's a good point. From the start, the charge of arrogance and racism presumes that values are not universal, otherwise how could it be arrogant or racist to think all people are beholden to the same moral standard. If what we are doing is describing an objective feature of the world (that itself is prescriptive by nature) that we discover, how can that be arrogant? It's not more arrogant than describing all mammals as warm-blooded.
People who believe in universal, objective moral values might be arrogant in their manner - and that would be wrong. But the fact that someone believes there are these values doesn't de facto make one arrogant.