I don't, just because I have super sensitive/acne prone skin. I would just be careful (if you do have sensitive/acne prone skin) because the chemicals in the body wash may react to the natural oils on your skin!
I do, it feels like I put toner on my face. My face starts to feel tingly and get a little tight. I always use a moisturizer after. I suggested to Dove a while back that they look into having face products. Hopefully they do in the near future.
My husband does and it doesn't cause his skin to breakout. My skin is too sensitive on my face and the body wash clogs my pores and the end result isn't pretty. It definitely doesn't have the same ingredients as a regular face wash.