I think a much more interesting question (with several more examples) might be which graduate degree holders by industry/major/whatever vote Republican.
I think ultimately gender and racial divides among students in the field are the main thing that determine whether something leans right or left rather than the program itself. In my experience Female engineering graduate are as left-wing as their humanities counterparts but males are significantly more right which due to their overrepresentation probably leads to, their fields being more republican leaning.
If I had to rank engineering majors in terms of how republican/democrat, they are i'd say beyond the obvious Oil & Gas, Mining being republican and Environmental and Ocean engineering being liberal. The main factor determining the leaning of majors is just how many women and minorities are in it.
*note this is based on my experience at Texas A&M which is a very right-wing realtive to most universities