Nano electronics are beyond my time, I can't comment on this. Device physics is quite remote from most EE designs. I was an IC designer long time ago, yes we need to know a little bit of device physics. But other than some very basic knowledge, we design circuits just exactly like design transistor circuits.
I do agree that people should take a class on QM no matter what. If I get through Classical Electrodynamics by JD Jackson, that would be my next subject to study. But getting through JD Jackson is a very tall order, it's the holy grail of EM, I will likely get into QM in my next life!