Well, I can definitely say from my family and extend family circle, that we as Indians do not care about interracial marriages. Some do care a lot, but they still respect the decision. Even my Dadi in India does find it a bit different, but she's not against the whole this. It's just a really new concept for her. Having said that, most people in India are not as openminded as many members of my family are. Actually, even some Indian families here really do frown upon interracial marriages. They put a lot of pressure on their kids to marry only Indians. They usually feel like Indian people understand each other culturally better, and that Indian people make the best matches. That is not true at all, but it's what many people like to believe. It depends on family-to-family. There are a lot of openminded people. I feel like sometimes second generation (American-born) Indians are more openminded and supporting of that.
Even in my family though, a Hindu being with a Muslim is still considered "bad". I don't know why though. I told my mom once how I was dating a Muslim, and she had a fit. I didn't see what I was doing wrong, but she did not like it at all. Even my family in India do not like Muslims at all. I know there's frictions between the people, but I didn't think that the thinking would carry here to America too.
I know how you feel by being thought of as trashy even though you are not. Sometimes a girl who is bold and speaks her mind is strange for some Indian people to see. In American culture though, it's seen as classy. I've had some Indian aunties comment because sometimes I drink that I have no class. I'm not an alcoholic, and it is legal for me to drink. Having said that, I don't drink to the point that I make a fool out of myself, but here and there I do drink. I don't see the problem.
Again, you have to just follow your heart. If you love someone who's not Indian, and they love you too, then there's no harm in that. I don't think the heart sees the race when loving.