I tried commuting on some CX tires and made two key observations that made me change them out in short order.
1) The tires I tried were a little too aggressive for street use.....may have been good in the winter, but the rolling resistance was terrible and the ride was rough. My commute is 23 miles each way. As the distance increases, rolling resistance and efficiency become more important.
2) The CX tire did not corner well at speed (on pavement). There are a couple of stretches on my commute that regularly see me at speeds around 45mph. While they never lost traction, I could feel the tread flexing in transition from the center strip to the side lugs when getting into a deep corner, and I didn't feel safe with them.