<p>@DrGoogle OK, I take my words back. 
I am also a ChemE major, so I look at what courses ChemE department offers at each school and fail to notice other Engineering departments. Those biochemical engineering courses I listed are offered by ChemE Departments at UCSB and UCLA. I just did not expect ChemE students at UCSD to take Bioengineering courses to work in biotechnology industry.
Anyway, I am not sure whether employers and graduate schools care more about major ranking or more about school ranking. However, I believe both employers and graduate schools know UCSB is better than UCSD in ChemE. </p>