Ivy League schools breed leaders not us over paid worker bees. Only engineers complain about working under non-engineers. Lawyers at law firms don't have that problem.
Well, no. In the US, lawyers can't work for non-lawyers; that is, they can't work in a position where their legal judgement is subject to review by a non-lawyer. Part of their code of professional responsibility.
As a senior at Yale right now, and seeing what most of my fellow students are going into next year, the Ivy League is great at pumping out over paid worker bees. See here http://yaledailynews.com/blog/2012/02/13/finance-continues-t... for the numbers going into finance (~20%) and just anecdotally I would guess there are only slightly less going into consulting. Finally, there are a not insignificant number (maybe 10%) doing some sort of engineering.
I graduated from Harvard, and like chris_b said with Yale, a not insignificant number of people went into some sort of engineering. It's not the plurality career choice, but it's not like the field is some sort of pariah at Ivy League schools.
This is poor analysis. Princeton, Cornell, and Penn have had strong engineering programs for many decades now, and Brown has had a very strong competence in Applied Math.
Your broad brush strokes regarding "Ivies" and lawyers are just mugging for stereotypes.