Nuke from Orbit. Then again, there might be a lot of collateral damage to you and things you don't want destroyed.
You could slay one of the smelly beasts, and hang him from a stick at the entrance to your yard, as a warning to all other would-be skunk orgie participants, but that too may result in some collateral stinkage as it decays.
In all seriousness, skunks and other ground critters like to eat bugs and other stuff in and around your yard. You might try putting down some grub and insect "fertilizer" around your yard to kill off that food source. This is especially helpful in controlling other pests like moles too.
Leaving for work early morning around 430AM, I'd literally trip over them walking from the back door to the cars out front the house! Like a pack of dogs rutting where ever they feel like it.
Nuke option sounds fun, but...
I may try getting rid of the food source. I never knew there were that many until last year our carport area became such a popular place. Should I provide music and lighting? lol.
For the appropriate music, you can't go wrong with FLIGHT OF THE VALKYIE while your firebombing them. ( remember the village chopper scene in Appocolypse Now)
You could do like I did, make a investment into a "high power" pellet gun. Took care of my chipmunk problem after a few days.
Or just tell the neighbors whats going on and use a .22, just make sure the neighbors know whats going on. However I am speaking and not knowing what the surrounding look like.
I've found that nothing works particularly well or in a reliable fashion. I found a guy here in Bloomington who will live trap them (using a can of tuna as bait) and haul them away. I'm not sure where he takes them and could care less...they are gone.
While it would be a lot more fun to try some of the other ideas, this one worked like a charm for me (several times over the years) and it's completely hands-off - which is the way to fly with Pepe.