Regarding religion, you have been on one side of the power dynamic, regarding race, you have been on the other side. Being a white Mormon is a very different experience from being a black Protestant. Also, I don't think of your point of view as lesser, just surrounded by the privilege that you refuse to acknowledge in degree and effect.
When people were checking your head for horns, would it have helped if you said the LDS were Christians just like they were?
In one or two cases it lead to a discussion which in turn lead to friendship. So yes it did. Regardless of their actions i am still responsible for mine. I can either act as I know I should in an effort to bridge the gap or I can let their actions dictate my own and reinforce the divide they wish to create.
Edit: I (see: immediate family) ended up converting three of the girls in my high school.