Yes. You replace the sliders with cream-coloured sliders which have dampeners built in.
I want to remove the sound of bottoming out, not reducing the clicky sound.
The dampened sliders shouldn't remove the click at all.
I'm sorry, I did not see trax's post before GlaDOS had bumped the thread. False_Dmitry tells the truth. The dampening on the sliders does not impart the click sound at all.
I hade mod'ed my Dell AT101W so that the switches have sliders from "Cream" Alps but tops and "click leafs" from "White" Alps. They are clicky, but the sounds of bottoming down and snapping up are dampened.
On Cherry MX, the tactility/click is in the slider, but on Alps, the tactility/click is in a leaf spring called "tactile leaf" or "click leaf". Even though Alps sliders have different colours, they are all mostly the same shape. For instance, you can put a White slider into a Black switch and it will feel the same.
If you remove the tactile leaf, then the switch becomes linear. Because tactile leafs have different shapes, the top of the switch can also be a different shape, so it is best to swap that too. All switch bottoms are the same, though. Another difference from Cherry MX is that all Alps SKCL/SKCM switches can be opened without removing them from the PCB/plate.