Speaking as a EE/CS who started out as a physics major, I'll put it this way:
A bumblebee is an airplane designed by a physicist.
The math dude is the guy who said the creation of the physicists can't fly because his equations said so.
Point being that engineers have to deal with the world as it really is--with chaos, harmonic and non-harmonic noise, perturbations of electromagnetic and fluid dynamic types--to actually create something useful, rather than dealing with the simplistic "perfect" reality that they dream up. And I submit that the former requires more, not less, intelligence than the latter.
Do you really believe that Albert Einstein was more intelligent than Alan Turing?
Which reality would you rather give up--the one without knowing of relativity, or the one without computers and everything that follows from Turing?
Just about all the highest paying college majors are in engineering, computer computer science, with occasional mention of biochemistry, accounting or economics. So physicists choose a field with fewer career opportunities, that pays less than almost any form of engineering, because companies know that they don't produce anything useful. But physicists are more intelligent.
Uhh Huh.