To my knowledge there is NO holistic remedy for Sarcoptic mange.
Revolution will kill the mites without heavy chemical dips. Use one dose, then redose in 2 weeks. Do a skin scrape in another 2 weeks to determine if you need another dose. Generally 2 doses will do, but if it's really bad it might not. Wash all bedding regularly, with bleach if possible.
On humans, Scabies (sarcoptic mange term for humans) is self limiting. Meaning it will go away as soon as it doesn't have a suitable host, like your dogs. They cannot complete their lifecycle on humans.
All animals in the house should receive Revolution for this to be effective. Also, socks on their feet will keep them from scratching themselves raw.
If you'd like to see how bad it can get, take a look at our rescue baby Madeline
http://www.petfinder.com/pet.cgi?act...=0&tmpl=&stat=
She's literally a bloody mess.

But she's on the mend now.
Good luck.