“How does one transition to this? “
First, don’t listen to the CS professor.
Second, start the Cisco curriculum of self study.
https://www.cisco.com/c/en/us/training-events/training-certifications/certifications.html
Expect to put more time and effort into a CCIE cert than you would into a BSEE. And far less money.
Just an entry level CCNA cert gets you employed at $30/hr +.
And never, ever think it’s going to be easy.
FReepmail.
And thanks.