I've camped here twice while on vacation from North Carolina. If you would like to feel as if you're one in harmony with the desert then this is the place to be. Each time when I visited I was the only camper there and I literally felt as if I was the only person in that entire desert. It gives you that kind of feeling and for someone who values his solitude it was a very peaceful and relaxing feeling. I wished I could have stayed longer.
Bring a chair with you and I recommend having someone to babysit your dog while you stay here. There are cacti everywhere both as tall as telephone poles and as small as mushrooms. At night the desert comes alive with life. You'll have no problem spotting tarantulas, snakes, lizards, scorpions, rats and bats that fly so close you can hear their wings flap which is an experience all by itself. Just walk down the road or trails after dark with a flashlight or by moonlight and you'll see them. It's illegal to kill any wildlife including rattlesnakes. They have signs posted in the park that even they are protected and are to be left alone.
EDIT: I also recommend that you do your research before staying in the primitive campsite. Eventhough the Border Patrol and Federal Park Rangers are patrolling the campsite both with cameras, which is comforting, and in person there is always the possibility that you'll encounter an illegal crossing. I encountered one who was more in distress for water than causing any harm. The border patrol quickly had him in custody. I think he wanted to go back.