I have not done Kasparov in that direction, but I guess it can be done at 4th class bypassing right/SE around the harder stuff. Derek Wolfe's Front Range 13ers guide gives a pretty good description of, albeit also going the other direction. Some photos looking both directions here too.
FWIW, I don't think it would be bad to descend Mohling if you choose to start on Kasparov. The most challenging part to pick a line might be coming off Apache, and I'd highly recommend not getting suckered into the obvious easy-but-loose gully on the north side of ridge proper. Most of the traverse is on left/west side ledges (when looking down it) which would be easy to spot from above. Switches to the right/east side near Lone Eagle. There are several bail points, though ice ax or microspikes would be nice for a couple of them. The rappel headwall can be climbed on the right/east side of the ridge via 5.0 chimney and exposed ledge traverse back left to the rap anchor.