No, because the parts on your current bike aren't all that great, IMHO. And plus, if you're going to buy another frame (I would assume new), buying a whole new bike from BikesDirect.com would only be a little more cash.

Just get a new bike.

For as little cash as possible, and since you want an "urban" city bike for commuting, I would recommend:

http://www.bikesdirect.com/products/dawes/sst_steel.htm (front and rear brakes)
http://www.bikesdirect.com/products/windsor/thehour.htm (free rear brakes)
http://www.bikesdirect.com/products/...essenger_x.htm (front and rear brakes)
or even
http://www.bikesdirect.com/products/...ift2_track.htm if you want aluminum + carbon fiber fork (front and rear brakes)

Even though the components on these bikes probably all that great either, I feel like they would still be better than the GT's components for some reason.