My husband and I have been married for almost 18 years and have three school-age sons. We both came from ethnically mixed neighborhoods, and as we dated, we encountered few problems because of our different races (he's Chinese, I'm white). Once we were engaged, however, our families had some struggles with the relationship.
We were lucky - both of our families loved us enough to face their prejudice and deal with it the best they could. For example, my uncle fought in Korea and hated Asians. He decided to take my fiance/husband out for breakfast every Saturday morning for as long as it took in order to get past it. He did. My father-in-law was crushed that his only son's sons would not be completely Chinese, and would not see me when I went to meet him for the first time. It took a while, but he finally decided that even though his grandchildren would be mixed race, they would be loved and well-cared for, and he decided that was good enough.
People ask still ask us about our mixed-race marriage sometimes, but the bottom line is that we agree on the important stuff and have more ideas to draw from on everything else. It is still good.