Taking a guess:
Rand Paul manages to get nominated in 2016/2020 and goes down in flames while changing the conservative movement in a Goldwateresque fashion. This starts a realignment in the 2020's with lower income, more religious, blacks, and low income Hispanic vote Democrat while the wealthier, secular types vote Republican. Asians in this situation are hardcore Republicans
Most Asians are leaning democratic. They come from a background where authoritarianism is the norm. Most Asians are also socially liberal or open to liberal ideas. They also gravitate towards democrats for immigration issues. For Democrats is perceived as the parties of the immigrants. So I don't see Asians flocking to Republicans in the foreseeable future.