The frames of a KDSS and non-KDSS are different also. I don't know how or why, but the frame part numbers are not the shared between the two. The Limited, TRD Pro, Non KDSS TRD OR/Trail and SR5 models share one frame and the KDSS TRD-OR has its own frame part number. 2WD also has a different frame.
That said - I have no idea on whether the sway bar mounts are present on the KDSS frame. And as ^ rochmper said, the rear axle mounts are different as well.
Something like a curry antirock is probably the easiest non-KDSS sway bar to add, or you could swap rear axles for a non-KDSS housing.
The other alternative would be to consider having a custom sway bar made that retains KDSS but has lower torsion spring rate and/or longer arms for more travel.