If it's really only about identifying the users of exchanges, as posted by Don Pedro Dinero above, then the impact will be pretty much nil, as this has been the standard for most US and Europe based exchanges for years already.
If South Korea actually goes as far as shutting down exchanges, we'll see short term dumps led by Korean exchanges, that will likely quickly recover as soon as the downward pressure subsides -- ie. the affected exchanges shut down for good -- and people realize that government enforced exchanges closures don't really matter in the long run.
So worst case it will probably be more or less like what happened with China.
WE RISE, WE FALL, WE RISE AGAIN!