We already have a Free Trade agreement with Singapore.
LinkWe also have a Free Trade agreement with Chile.
Link for ChileAs far as I know, New Zealand is not a major outsourcing concern, nor are they a major manufacturing power house that we would be concerned about undercutting US prices, so the only country that is even remotely in question on that list is Brunei, which is a small and fairly wealthy country, so I don't think we need to worry about all of our jobs being exported there.
So really, this is a non-news item, and the DUmmies are getting all bent out of shape over nothing.