Latin dating Asian?

I am a Mexican-American and my GF is Korean-American. I am 28 and she is 26. We really do love each other. Her parents and my parents have except us with out any problem. But we have to avoid certain places sometimes. We do get looks from people. Older Asian people stare at us as well as many other people. I keep my cool most of the time but if someone makes a comment would it be wrong to confront them. I did this to a Korean gentleman who said some stuff under his breath. I told him to take a picture it will last longer among other things. What is with people? What do you think? I can see my self marrying my GF in the future. Has anyone had inter-racial dating experience? What advice can you give me? I get deadly looks from Latin woman. Why do people care about color so much that they make other feel uncomfortable? I guess it is something I will have to get used to.

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