Probably. If they're an alien race capable of self aware, intelligent decisions, and can change their minds as new data comes to light, like humans can (and most animals cannot, or cannot do so without painstaking training), then they'd probably categorize each other like we do, yes. If they're exceptionally kind, intelligent, and wise, they'd even be able to say things about the races that are biological facts, such as "Asian people tend to have slanty eyes", without anyone thinking it's insulting. On this planet, that can be construed highly as an insult to some, though I think it's just silly.
Once again I manage to over-think a relatively simple question...
@minigunman123: I know what you mean, I can remember once having to listen to a 10 minute bitch fest for asking why a black guy would need a tanning bed (it was a white girl doing the bitching the black guy agreed with me)
Hahaha yeah, that's more or less what I'm talking about.