My guess is it would be named "Liquidmetal" and it would be the merging of all of Li's pieces and parts under one roof. Whether it is a Chinese company with a wholly owed US subsidiary similar to the way Foxconn is moving, or vice versa? I'd guess that they would keep the power center of the organization in China. My guess isn't worth much in that arena. The pros and cons of that decision are likely fairly complex and dependent upon the growth potential vs. taxation.
I don't know how a NASDAQ listing would affect that decision either.