Just built up a cycle cross machine. I have a hybrid as my primary winter bike, and I can tell you that the CX is much faster. The drop bars give you a big advantage especially with a headwind. Still, the difference in overall travel time compared to your current bike will probably be fairly small-a few minutes or so over 7 miles. Take some out for a test ride. If you think you will be comfortable on a cross, then go for it. They are very practical bikes.