Wild camping at Alabama Hills last time I checked - check with BLM about current rules and regulations.

You could definitely drive the RV but not sure about Mobius Arch although saw RVs parked in the area in enviable spots amongst the hills for the night ......hope you have a great trip.....some good walks

Fee = Free

Yes! Roads are dirt/gravel but nicely maintained. Enjoy!

(English Translation: Use Google Maps and search for "Mobius Arch Trailhead". The trail is 4.4 miles from Dow Villa Motel, and the trail is very well marked.)

Official campgrounds are closed in the winter. Downtown Lone Pine's Dow Villa Motel has a good view of Mt. Whitney and easy access to the cowboy movie museum. Better to "camp" at the Alabama Hills Bakery and Café!

No, high elevation and very cold in January... travel trailer with heat would be doable

There are several sources of "tours" or "circle drives" proffered by different sources. For example, the suggested tour offered by the Dow Villa is a driving tour that begins on Mt Whitney Road near Movie road and loops around Tuttle Creek Road. It's about 8 miles round trip, and as written it's really a driving tour as Tuttle Creek Road is narrow and steep. It's lovely, but not particularly amenable to little ones. Alabama Hills is a delightful place, however and you can spot all kinds of formations just about anywhere. I recommend Mobius Arch and trail (drive down Movie Road until it becomes a dirt road and makes a sharp turn to the right, the parking area is on the left). The trail is well marked, and there is a lot to see. In that area you can spot quite a few things like the Heart Arch, the Eye of Alabama, the "Nipple", and many other formations. Let them use their imagination and tell you what THEY see. PS Not sure why people bother writing that they "didn't do it" or "don't know". As for me, I've done extensive hiking and photography in Alabama Hills, and have to tell you that the combination of Mount Whitney, fascinating formations and dark skies (so dark you WILL see the Milky Way in summer), make it my happy place. In summer, you can drive up to Whitney Portal or up Horseshoe Meadow road to gain altitude and cooler temperatures.

If I understand question correctly, there are no signs to direct you to Mobius Arch. You need to take Whitney Portal road out of Lone Pine. Then, you make a right turn on Movie Flat road. You need to stay on the Movie Flat road as you will see numerous smaller roads branching off to the left and right. Eventually, Movie Flat Road comes to a "T" intersection where you have to turn left or right. Go right. As you turn right, you should see a parking lot with a lot of cars. Park there. From the parking lot, look at the rock formations; you should see a heart shaped hole in another arch. The trail starts off on the right side of the parking lot. The trail is well established. Again, there are no signs. As you walk, the trails forks. Go right. You can see Mobius Arch more easily. If you go left, you may walk right pass it without noticing. It is best to shoot the arch in the morning as the it is facing east so you can see the mountains in the hole looking towards the west. I hope this helps.

Yes you can