CB123
Is your commute 24 miles round trip or is that each way? I used to commute 27 miles round-trip and that was comfortable without feeling I was overdoing it.
The Cruzbike will
definitely alleviate the soreness issues.
I think the disc brake tabs on your fork will create interference with the Cruzbike brackets that must be mounted to it. If this is correct, you will have to either cut off the tabs (which I don't like to do) or buy a replacement fork without tabs. You would lose the front suspension, but a road fork is a good option. If you choose this route, look for a fork made of steel or maybe alloy, just don't buy carbon -- it's not recommended due to the point-load of the brackets and jubilee clamps.
Finally, like Charles said, disc brakes will not work with the V2/K conversion.