Certainly there's a way to go, but I think we are seeing change with the growing prominence of actors like Daniel Dae Kim and John Cho. Beyond any single ethnic type, I'm seeing an increase in multiethnic casting in general on TV.
After all, the assumption that the "common American male" is a WASP is becoming increasingly less true as demographics shift. We saw that in the 2012 election, when the party that catered principally to white males was trounced by the party whose coalition included just about everyone else. Countless analysts have agreed that the Republican Party can't win any more elections unless it broadens its appeal beyond white males, and if the evolving demographics of the country make that true for a political party, it's likely to be true for a TV studio as well.