As someone from an EU country with no domestic caranufacturers: we don't care at all. We buy German. French, Japanese, Korean, Italian and even some US cars. Not many, see the Top Gear review of the F-150 to understand why.
My country does not have car manufacturers, but still supplies a lot of parts to car manufacturers around the world. My BMW was assembled in the US. Not in our neighboring Germany. The car manufacturing industry is much more geographically integrated than most people assume.