Everything is moving west, including that current, which is clearly seen in the Sat pics... However, the ULL and trough in the West Carribean is not moving too fast so I do tend to agree that a more NW track is in the future, just not too sure as to when or for how long as the flow returns to westerly around the Greater Antilles.
In general this is a very confusing pattern effecting what this system will do, in contrast to Dean which was on a fast track all the way. I have never seen so tight track agreement throughout as that system (Dean) generated. The models will differ greatly on this one.