That said, a lot of ID firms do have ME’s and EE’s. But they might have one or two engineers to bolster their billable and deliverables, and in my experience they are doing engineering work, not design work.
Think of it the other way around. If i guy graduated with an ID degree and liked to tinker with electronics would a firm or company hire him to do EE work?
Another way to go might be to play the role of what is sometimes called a “Technologist”. At frog there was a pretty large “technology” team of tinkerers and mad scientists we would bring into programs to help do some front end conceptualization as well as build proof of concept prototypes that used all kinds of tech.