Our wedding here in Chile was without alcohol, so it can be done.
I think our cost including the place (a really nice casona in Talagante, with beautiful garden area if you want an outdoor wedding), all the rental equipment and food; Pretty much everything except for the civil ceremony costs included came out to be something like $17.000 per person.
The civil ceremony is quite cheap. If you go to the actual office and do it there, it's even cheaper. To have them come out to you I think is something around $60.000, not sure though.