In my opinion you should just do as you stated. Wipe if they decide to make another AI. Also some objectives that exist are for someone to steal a functional AI. I know you aren’t talking about that but making an AI needs to be able to be done not super easily but doable.
From your point of view it seems you have to deal with quite a bit of an annoying science department. I would try to monitor them and inform the captain about your views of having multiple AIs. Secondary I do believe creating an AI without authorization should be theft/grand theft due to their mishandling of important crew supplies to create something for themselves.
Personally I prefer 2 AIs die to their useful nature on the station. Typically when there are 2 AIs when I play on insane rounds they work together quite well and assign each other departments to control and assist. Usually 1 Security/Command, the other deals with the normal crew.
On another note, I really do enjoy ANGEL as an AI/borg so I do hope you prefer to stay playing on paradise and don’t have to quit due to an annoying game mechanic people abuse.