Just one note on this, as someone with a "Mechanical Engineer" job title: The majority of people (including me personally, all my coworkers, my parents, etc.)

Just one note on this, as someone with a "Mechanical Engineer" job title: The majority of people (including me personally, all my coworkers, my parents, etc.) working with "engineer" in their title, and presumably calling themselves engineers, don't have the Professional Engineer license required to sign off on bridge designs. I personally don't see any problem with Software Engineer as a title, although I'm occasionally sad that just "Engineer" is so often taken to mean software only in some places.