It doesn't really matter to me... Growing up my sister's best friend lived in a mixed household, but as kids I don't think we really thought about it. I even was thinking of dating someone outside my race, but it was senior year of college and I was planning to move to the east coast for grad. school and she was moving to Cali for her grad school.
I think it is fine, as long as the reasons is about love and respect for each other. I have noticed that some women feel insecure about themselves and so will date men in a lower class (whether it be white or black) because they feel they are too heavy, old, etc. to pick up a guy with standards. And the guys will sometimes prey on that, seeing the women as being vulnerable and therefore easier to hook up with. I think those types of relationships are damaging; the women would rather settle for someone that doesn't truly love them just to be with someone, and the guy is only dating the women because he senses her insecurities and uses that to get into her pants. BTW, I'm making this case not because I think black people (or other minorities) are innately a lower class person, but rather that the "gangsta" culture (ie the guys that wear their pants mid-thigh and have dirty wife beaters on) is of a lower class and unfortunately tend to have more black people associated with them (although there are plenty of white guys that act the same way and conversely I know of black professionals like doctors and lawyers, so it is not a racial statement but more of an income statement).