I've heard lots of strong arguments *against* lubrication of ALPS, but very few arguments for it.
My suggestion would be to:
1. Remove all key caps, get rid of ALL the crud inside, open the case, do the same.
2. Now disassemble the switches, plop the sliders in a large container or sink (with the little trap so nothing goes down the drain!!), mix in dish soap or simple green. (Toss in your key caps for good measure, they are most likely dusty and grimy from years of use anyway).
3. Agitate by hand, scrub (with a gentle sponge, cloth, etc) and rinse each slider individually and place on a large towel in their operating orientation (to let the water drip down onto the towel from the hollow inside). Do the same with the key caps, and set them aside until time for reassembly.
4. Get some q-tips and wipe the sliders dry if you know you're too impatient to wait for them to air-dry.
4(b). Optional, but recommended: Purchase and have ready some 303 Aerospace Protectant. Soak the cleaned sliders in the 303 (can be used sparingly to soak or spray, use your best judgment to get the most for your money). This will "condition" the plastic back to a nice silky surface and undo some of the harsh brittle nature aquired from age / wear. Wipe and dry *ALL* 303 from the sliders without rinsing.
5. At the same time you're soaking your sliders, put the springs and tactile/click leaves (if you have them) into a container of Brasso.
6. Allow them 10-20 minutes to soak, and then remove and begin wiping off the Brasso with a clean but old and worthless towel / rag. Be VERY careful not to bend or mangle springs or leaves even slightly, as it can disrupt the function of the switch.
7. With a second towel / rag, finish wiping the springs / leaves clean of ALL Brasso residue. A q-tip will come in handy again, especially on the springs.
8. Place springs / leaves out in a safe place to air dry as well in case there's any remaining dampness to them (there really shouldn't be if you did a good job on #7).
9. Reassemble switches.
10. Enjoy your restored ALPS switches! They should be pretty darn close to factory condition assuming they were only dirty / gritty and not damaged before starting the process.
11. ...
12. Profit.