What is the future of Asian diversity in America
That's a very broad topic since Asia includes people from such diverse countries as Korea, China, India, Pakistan, Kazakhstan, Russia, Israel, and Saudi Arabia.
By the second or third generation, immigrants tend to be thoroughly integrated into American culture, while keeping remnants of their original heritage. Within 50 or 100 years, most ethnic groups intermarry with different groups. If the past is an indication, Asians will follow the practices of other immigrants.