neither link are working for me, but I assume you have a 120v rope light and a 12v switch, this will work, right up to the point it burns your house down. you either need to use a 12v relay that will control 120v, that will also require a separate power supply for the low voltage side. your easiest solution is a proper toggle switch.
I am Gregg with the Home Depot in Chicago. Where is the outlet that the rope lighting is going to be plugged in at? Is it going to be in the cabinet or on the wall? The first solution that comes to mind is installing a light switch that controls the outlet. You can put the switch somewhere convenient to the work area, but ask an electrician how or have an electrician help you do it correctly. Another option, which is a little easier, is plugging the rope lighting into this lamp dimmer.