wow.
i work in a preschool/daycare. we set up an xmas tree and send home a note that we are collecting gifts for a local non-profit that passes out gifts to families in need. participation is not mandatory, we don't keep track. some kids bring in 1 gift (wrapped & marked boy or girl), others bring in a gift for a boy and a gift for a boy, and there are prob. a few families that can't participate, but that's fine, it's all up to the families.
in november, we read the kids Stone Soup, put a box in the foyer and collect cans of soup.
for our fall festival, xmas party, valentine's day, easter, we have a small celebration in class and usually several kids bring in small treats/goodies that we send home. but it's not something the teachers organize, it's not mandatory, it's just whatever the parents want to do.
i'd talk w/ her teacher, specifically the daycare one. suggest doing a giving tree rather than gift exchange. good luck. i know how difficult it is when you feel strong-armed into doing what others consider "Normal" or "What you Do". please don't do something you're uncomfortable with. they aren't going to kick your daughter out, and it sounds like you aren't friends/close with these people anyway. good luck