Drog, in order to have the input not clip, clean sens is the control to tweak. Dist sens is meant to not have a sound distort too fast when the gain increases.
IOW, the distortion you get when CS is too high for the input signal is not the "profile" distortion, but he Kemper input's distortion, which is bad.
Yes CS will control the input. But it did not solve my issue with my distorted sounds being over saturated and distorted.
So, as per the Kemper manual
"If you feel that your guitar tends to drive the distortion too hot (or too soft) for the majority of preset rigs,
then calibrate your guitar by setting “Distorted Sens”, to the left or right from the neutral zero position. "
Lowering DS did the trick for me. 
