One thing American-born Asians and Latinos share in terms of racial assumptions made about them is that they definitely speak a different language (and get accosted by people who want to talk about and emphasize this magical otherness). This SNL sketch captures well how I think Hollywood deals with it:
Ethnic, but not TOO ethnic, because then it'd be weird!, i.e. Working from within racial stereotypes and sticking to the stereotypes ("Aiyaiyai!").