Because of Zhao Hai's plan, they were no longer afraid of the Church of Light's suppression. Thus, they turned their attention to the internal department of The Black Mages. They wanted to eliminate anyone who threatened their family's status, and Zhao Hai was undoubtedly such a person.
Yes, in the eyes of the kalchi family, Zhao Hai was only at Level 7 or 8 and could not pose too much of a threat to them. However, the idea that Zhao Hai gave them before was too brilliant. It was also because of that brilliant idea that they were afraid of Zhao Hai. The fact that Zhao Hai could give them such an idea showed that he was very allied with them. If he was given the chance, he might be able to build a big family. At that time, the carci family would no longer be the most successful Black Mage family in the hearts of The Black Mages.