Because this is about the animals, I do not think you want to treat this like a question of property disposition. If animals are being abused, you need to contact the animal control center and have them do a home inspection based on your allegations. If they conclude that the animals are being abused or neglected, they will remove the animals from the household. You can certainly make it clear to animal control that you are willing to adopt, or help find homes for animals that do get taken.
As far as your being Vice President, I would not rely on that issue at this time. Do you really want to emphasize your association with a rescue organization that abuses and/or neglects animals. If you want to help animals in the future, separately incorporate, and start afresh.