Yes, the kid is going to have an identify crisis about what race he is. If he's hapa, he wouldn't fit in with Asians or whites, if he's mulatto, he wouldn't fit in with blacks and whites. You can apply this to pretty much any racial combination. Also on top of that, mixed people are generally uglier than their racially pure counterparts. If it's a woman, that point's moot, but it matters a lot for the male child.
That's having kids though, I don't think that merely dating is going to cause that degree of problems