I would take part, i think its brilliant idea with the surprise and wonder of it xxx
The only way this could possibly be done is if one or two members decided to give up their time to sort it all out. And it would need to be decided within the next week or so, so that everyone gets a chance to sign up/buy gifts.
It would just be easier to buy gifts for people you're friends with and chat regularly to and maybe you'll get something in return :)