I’ve been sitting here trying to think of what conservatives would even complain about with Confucianism and the only thing I can think of is “Confucius says you should lie to the cops to protect your family, so he clearly supports the Triad!” They’d probably be more upset about Daoism (“feminizing”) and members of the Hundred Schools like Mohism (“basically communism”) or Agriculturalism (“basically communism”) or Legalism (“basically communism”).