Both the US & EU have been explicit about using tariffs against Chinese car imports, but will Chinese made cars predominate in the rest of the world? If China could make cars like the The $11.500 BYD Seagull quick enough, I'd guess it could sell them in the 10's or even 100's of millions around the world.
Differing regulation regimes are often used to mask protectionism (removing them in Europe was one of the main aims of the EU becoming a single market) - will we see the same happen for cars? I'd guess there are vast numbers of people in Europe or America who would jump at the chance of a $11.500 car like the Seagull.