How can I remove the interior side of a Kwikset handle set with "interconnect"?
The inside knobs are often removed on this type of product via a small slot or hole that will be visible at the stem of the knob. For a slot insert a small flat blade screwdriver in the slot and press in whilst pulling the knob away from the door. 

If there is just a small hole insert a round pin or small sized allen wrench in the hole. Press in the pin and apply pulling pressure on the knob to remove.