If you’re so against Limudei Chol why do you believe in a Rebbe who went to two universities?
Tanya (ch. 8) explains that there is a difference between a regular person studying חכמת האומות and a true talmid chacham and tzaddik who learns as a tool to increase his Torah study, such as the Rambam, Ramban, etc.
The Rebbe strongly opposed university study for most people.