It is people who wish to restrict gay rights behind this. It is a first in terms of arguing for anonymity in such a way on a petition-backed ballot option.
Gays who have campaigned elsewhere, and run petitions for ballot items, have put up with their names being publicly available.
If you're a raging homophobe in private, fine. If you want to sign a petition calling for a ballot on restricting the rights of people you don't like — have the balls to accept the potential consequences.