There are quite a few highly successfuly German corporations who have CEOs with engineering degrees. Some of them (such as Mr Piech or Mr Zetsche) can actually design and build something else than only an Excel sheet.
Mr Piech built VW (and all its european elements) into a serious competitor to Toyota, which is #1 in automotive.
Warren East of ARM is educated as an engineer, as are many of his colleagues:
Angela Merkel has a Physics PhD.
Google: Two engineers/computer scientists at the top.
Intel: Founded by engineers, still run by engineers.
It is true that many engineers have trouble dealing with "social" issues in the widest sense. But it is also true that other professions have trouble dealing with "reality", in the widest sense. See 2008/9 financial crisis.
Engineers need to mingle with people instead of isolating themselves. When they do, they will quickly realize there are so many opportunities to improve the state of affairs and what the weaknesses of other professions are. Also, experience and learn the nasty tricks. Experience the "heat in the kitchen".
If you are too lazy or too cowardly for that, please do not complain.
Some pictures of engineers: