Engineers are good at following certain rules to solve a very specific, if broad, subset of human problems.

HEY! I'm not good at following rules to solve very specific problems. I solve problems, some of the time, but rules are seldom involved. It's mostly luck and caffeine.

It sure as fuck don't make them intelligent.

First off, as a mentally underdeveloped engineer, I can say that fucking is never a certainty. I don't know if that invalidates the rest of your sentence but... Secondly we're generally dumb as bricks.