Ocotillo Wells is part of the much larger Anza-Borrego Desert State Park. It was set aside for off-road vehicle recreation. It is a great place to experience the solitude of the beautiful desert, gaze at the stars, or go wild with your 4-wheel-drive SUV, ATV, or dirt bike.
The park is a 2-3 hour drive from LA and Orange Counties but closer to San Diego and Palm Springs.
You probably want to camp for the night. Depending on the weather, you can make it as casual or as luxurious as you like. My son and I used to sleep in the back of my SUV – with the seats pulled down. It does get cold at night, so make sure you have good sleeping bags or thick blankets.